Podcast
Questions and Answers
What is the result of simplifying the expression $a^5 imes a^3$?
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?
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 $(xy)^3$?
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?
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 of these is the correct application of the negative exponent law?
Which statement about simplifying $(\frac{a}{b})^2$ is true?
Which statement about simplifying $(\frac{a}{b})^2$ is true?
How can the expression $a^4b^3/a^2b^1$ be simplified?
How can the expression $a^4b^3/a^2b^1$ be simplified?
Which method is NOT typically used to simplify exponential expressions?
Which method is NOT typically used to simplify exponential expressions?
What is the result of simplifying $(a^3b^2)^2$ using the exponent laws?
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?
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?
When applying the law of division of exponents, what does $ rac{a^m}{a^3}$ simplify to?
How would you simplify the expression $a^5 imes a^{-2}$?
How would you simplify the expression $a^5 imes a^{-2}$?
What is the correct result of this expression: $( rac{2}{3})^2$?
What is the correct result of this expression: $( rac{2}{3})^2$?
Which of the following represents the factorization of $a^2 - b^2$?
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}$?
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?
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?
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?
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?
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?
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 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}$?
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?
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?
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 $(a^3)^4$?
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 $( rac{a^2}{b^3})^3$?
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?
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?
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 $b^0$?
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}$?
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?
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 $a^3 - a^2$?
Which statement describes the common factor method of factorization for the expression $a^3 - a^2$?
