Gr 10 Math Ch 2: Exponent Laws

What is the result of simplifying the expression $a^5 imes a^3$?

$a^{15}$

$a^8$ (correct)

$a^{5-3}$

$a^2$

What does the expression $\frac{a^7}{a^2}$ simplify to?

$a^{9}$

$a^5$ (correct)

$a^4$

$a^{7-2}$

Which of the following expressions is equivalent to $(xy)^3$?

$x^3y^3$ (correct)

$xy^3$

$x^{3y}$

$x^3y^2$

What is the value of $a^0$ when $a$ is any non-zero number?

1 Signup and view all the answers

Which of these is the correct application of the negative exponent law?

$a^{-3} = rac{1}{a^3}$ Signup and view all the answers

Which statement about simplifying $(\frac{a}{b})^2$ is true?

$\frac{a^2}{b^2}$ Signup and view all the answers

How can the expression $a^4b^3/a^2b^1$ be simplified?

$a^2b^2$ Signup and view all the answers

Which method is NOT typically used to simplify exponential expressions?

Increasing the exponents Signup and view all the answers

What is the result of simplifying $(a^3b^2)^2$ using the exponent laws?

a^6b^4 Signup and view all the answers

Which expression correctly represents the application of the negative exponent law?

a^{-5} = rac{1}{a^5} Signup and view all the answers

When applying the law of division of exponents, what does $rac{a^m}{a^3}$ simplify to?

a^{m-3} Signup and view all the answers

How would you simplify the expression $a^5 imes a^{-2}$?

a^{3} Signup and view all the answers

What is the correct result of this expression: $(rac{2}{3})^2$?

$rac{4}{9}$ Signup and view all the answers

Which of the following represents the factorization of $a^2 - b^2$?

(a - b)(a + b) Signup and view all the answers

How do you simplify a complex fraction such as $rac{a^5}{b^2} imes rac{b^3}{a^2}$?

a^{3}b^{1} Signup and view all the answers

Which of the following statements correctly applies the zero exponent law?

a^{0} = 1 Signup and view all the answers

What expression does the law of raising a product to a power state for two numbers a and b?

(ab)^n = a^n b^n Signup and view all the answers

How should the expression $a^4 imes a^{-5}$ be simplified using the law of exponents?

$a^{-1}$ Signup and view all the answers

If a and b are positive real numbers, which expression correctly represents the application of the quotient of exponents rule?

$rac{a^m}{b^n} = a^{m-n}$ Signup and view all the answers

Which statement correctly represents the negative exponent law?

$a^{-m} = rac{1}{a^{m}}$ Signup and view all the answers

What is the result of applying the law of raising a power to a power to the expression $(a^2)^3$?

$a^{6}$ Signup and view all the answers

What will be the result of simplifying the expression $rac{(ab)^2}{a^3b^2}$?

$a^{-1}$ Signup and view all the answers

Which of the following expressions illustrates the law of zero exponent correctly?

$a^0 = 1$ for any a != 0 Signup and view all the answers

When simplifying the expression $a^5b^2/a^3b^1$, which method should you apply?

Cancel out common factors Signup and view all the answers

What is the result of applying the law of raising a power to a power on the expression $(a^3)^4$?

$a^{12}$ Signup and view all the answers

Which law of exponents allows you to simplify the expression $(rac{a^2}{b^3})^3$?

Raising a Quotient to a Power Signup and view all the answers

When simplifying an expression like $a^5 imes a^{-3}$, which step correctly applies exponent laws?

Add the exponents: $a^{2}$ Signup and view all the answers

In the exponent expression $a^{-2} imes a^4$, what is the final simplified form?

$a^2$ Signup and view all the answers

Which of the following is the result of applying the zero exponent law to the expression $b^0$?

$1$ Signup and view all the answers

What is the result of simplifying the expression $rac{(ab)^2}{a^2b^4}$?

$rac{1}{b^2}$ Signup and view all the answers

Given the expression $a^3(a^{-1}b^2)$, what is the simplified result?

$a^2b^2$ Signup and view all the answers

Which statement describes the common factor method of factorization for the expression $a^3 - a^2$?

Factoring out $a^2$ yields $a^2(a - 1)$ Signup and view all the answers

Gr 10 Math Ch 2: Exponent Laws

Questions and Answers

What is the result of simplifying the expression $a^5 imes a^3$?

What does the expression $\frac{a^7}{a^2}$ simplify to?

Which of the following expressions is equivalent to $(xy)^3$?

What is the value of $a^0$ when $a$ is any non-zero number?

Which of these is the correct application of the negative exponent law?

Which statement about simplifying $(\frac{a}{b})^2$ is true?

How can the expression $a^4b^3/a^2b^1$ be simplified?

Which method is NOT typically used to simplify exponential expressions?

What is the result of simplifying $(a^3b^2)^2$ using the exponent laws?

Which expression correctly represents the application of the negative exponent law?

When applying the law of division of exponents, what does $rac{a^m}{a^3}$ simplify to?

How would you simplify the expression $a^5 imes a^{-2}$?

What is the correct result of this expression: $(rac{2}{3})^2$?

Which of the following represents the factorization of $a^2 - b^2$?

How do you simplify a complex fraction such as $rac{a^5}{b^2} imes rac{b^3}{a^2}$?

Which of the following statements correctly applies the zero exponent law?

What expression does the law of raising a product to a power state for two numbers a and b?

How should the expression $a^4 imes a^{-5}$ be simplified using the law of exponents?

If a and b are positive real numbers, which expression correctly represents the application of the quotient of exponents rule?

Which statement correctly represents the negative exponent law?

What is the result of applying the law of raising a power to a power to the expression $(a^2)^3$?

What will be the result of simplifying the expression $rac{(ab)^2}{a^3b^2}$?

Which of the following expressions illustrates the law of zero exponent correctly?

When simplifying the expression $a^5b^2/a^3b^1$, which method should you apply?

What is the result of applying the law of raising a power to a power on the expression $(a^3)^4$?

Which law of exponents allows you to simplify the expression $(rac{a^2}{b^3})^3$?

When simplifying an expression like $a^5 imes a^{-3}$, which step correctly applies exponent laws?

In the exponent expression $a^{-2} imes a^4$, what is the final simplified form?

Which of the following is the result of applying the zero exponent law to the expression $b^0$?

What is the result of simplifying the expression $rac{(ab)^2}{a^2b^4}$?

Given the expression $a^3(a^{-1}b^2)$, what is the simplified result?

Which statement describes the common factor method of factorization for the expression $a^3 - a^2$?

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Gr 10 Math Ch 2: Exponent Laws

Questions and Answers

What is the result of simplifying the expression $a^5 imes a^3$?

What does the expression $\frac{a^7}{a^2}$ simplify to?

Which of the following expressions is equivalent to $(xy)^3$?

What is the value of $a^0$ when $a$ is any non-zero number?

Which of these is the correct application of the negative exponent law?

Which statement about simplifying $(\frac{a}{b})^2$ is true?

How can the expression $a^4b^3/a^2b^1$ be simplified?

Which method is NOT typically used to simplify exponential expressions?

What is the result of simplifying $(a^3b^2)^2$ using the exponent laws?

Which expression correctly represents the application of the negative exponent law?

When applying the law of division of exponents, what does $ rac{a^m}{a^3}$ simplify to?

How would you simplify the expression $a^5 imes a^{-2}$?

What is the correct result of this expression: $( rac{2}{3})^2$?

Which of the following represents the factorization of $a^2 - b^2$?

How do you simplify a complex fraction such as $ rac{a^5}{b^2} imes rac{b^3}{a^2}$?

Which of the following statements correctly applies the zero exponent law?

What expression does the law of raising a product to a power state for two numbers a and b?

How should the expression $a^4 imes a^{-5}$ be simplified using the law of exponents?

If a and b are positive real numbers, which expression correctly represents the application of the quotient of exponents rule?

Which statement correctly represents the negative exponent law?

What is the result of applying the law of raising a power to a power to the expression $(a^2)^3$?

What will be the result of simplifying the expression $ rac{(ab)^2}{a^3b^2}$?

Which of the following expressions illustrates the law of zero exponent correctly?

When simplifying the expression $a^5b^2/a^3b^1$, which method should you apply?

What is the result of applying the law of raising a power to a power on the expression $(a^3)^4$?

Which law of exponents allows you to simplify the expression $( rac{a^2}{b^3})^3$?

When simplifying an expression like $a^5 imes a^{-3}$, which step correctly applies exponent laws?

In the exponent expression $a^{-2} imes a^4$, what is the final simplified form?

Which of the following is the result of applying the zero exponent law to the expression $b^0$?

What is the result of simplifying the expression $ rac{(ab)^2}{a^2b^4}$?

Given the expression $a^3(a^{-1}b^2)$, what is the simplified result?

Which statement describes the common factor method of factorization for the expression $a^3 - a^2$?

More Quizzes Like This

Quiz de Teoría de Exponentes en Matemáticas Primarias

Exponent Laws for Multiplication

Exponent Laws Quiz

Algebra Exponent Laws Flashcards

When applying the law of division of exponents, what does $rac{a^m}{a^3}$ simplify to?

What is the correct result of this expression: $(rac{2}{3})^2$?

How do you simplify a complex fraction such as $rac{a^5}{b^2} imes rac{b^3}{a^2}$?

What will be the result of simplifying the expression $rac{(ab)^2}{a^3b^2}$?

Which law of exponents allows you to simplify the expression $(rac{a^2}{b^3})^3$?

What is the result of simplifying the expression $rac{(ab)^2}{a^2b^4}$?