Gr 10 Math Ch 2: Rational Exponents

What is the result of multiplying $a^{1/2}$ by $a^{1/3}$?

$a^{5/2}$

$a^{5/6}$ (correct)

$a^{1/5}$

$a^{2/5}$

Which of the following represents the division of $a^{2/3}$ by $a^{1/2}$?

$a^{5/6}$

$a^{1/3}$ (correct)

$a^{2/5}$

$a^{1/6}$

What is the outcome of $(ab)^{2/3}$?

$a^{2/3} b^{2/3}$ (correct)

$a^{1/3} b^{2/3}$

$a^{2/3} b^{1/3}$

$a^{3/2} b^{3/2}$

Which expression correctly simplifies the exponentiation of a quotient $\left( \frac{a}{b} \right)^{3/4}$?

$\frac{a^{3/4}}{b^{3/4}}$ Signup and view all the answers

What is the simplified form of $\left(a^{1/4}\right)^{3/2}$?

$a^{3/8}$ Signup and view all the answers

How would you convert the expression $\sqrt[5]{a^3}$ to rational exponents?

$a^{3/5}$ Signup and view all the answers

What is the outcome of applying the power of a power law to the expression $ig(a^{3/4}ig)^{2/5}$?

$a^{3/20}$ Signup and view all the answers

Which expression correctly represents the multiplication of $a^{1/3}$ and $a^{2/5}$?

$a^{11/15}$ Signup and view all the answers

What is the result when dividing $a^{3/4}$ by $a^{1/2}$?

$a^{1/8}$ Signup and view all the answers

Which of the following is the correct simplification of $ig(ab^{1/2}ig)^{3/2}$ based on the raising a product to a power law?

$a^{3/2} b^{3/4}$ Signup and view all the answers

What is the correct fractional exponent for the expression $b^{4}$ when expressed as a square root?

$b^{4/2}$ Signup and view all the answers

What is the result of simplifying the expression $rac{a^{5/6}}{a^{2/3}}$?

$a^{1/6}$ Signup and view all the answers

What is the result of applying the division of exponents to the expression $\frac{a^{4/5}}{a^{1/3}}$?

$a^{11/15}$ Signup and view all the answers

Which of the following correctly represents the power of a power for the expression $\left( a^{2/3} \right)^{3/4}$?

$a^{1/2}$ Signup and view all the answers

What expression results from applying the raising a quotient to a power law to $\left( \frac{a^3}{b^2} \right)^{2/5}$?

$\frac{a^{6/5}}{b^{2/5}}$ Signup and view all the answers

When simplifying the expression $a^{1/2} \times a^{1/4}$, what is the simplified exponent?

$a^{3/4}$ Signup and view all the answers

What is the simplified form of $\left(a^{5/6} \right)^{3/2}$?

$a^{5/4}$ Signup and view all the answers

When converting the expression $\sqrt[4]{b^8}$ to a rational exponent, what is the correct form?

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

Gr 10 Math Ch 2: Rational Exponents

Questions and Answers

What is the result of multiplying $a^{1/2}$ by $a^{1/3}$?

Which of the following represents the division of $a^{2/3}$ by $a^{1/2}$?

What is the outcome of $(ab)^{2/3}$?

Which expression correctly simplifies the exponentiation of a quotient $\left( \frac{a}{b} \right)^{3/4}$?

What is the simplified form of $\left(a^{1/4}\right)^{3/2}$?

How would you convert the expression $\sqrt[5]{a^3}$ to rational exponents?

What is the outcome of applying the power of a power law to the expression $ig(a^{3/4}ig)^{2/5}$?

Which expression correctly represents the multiplication of $a^{1/3}$ and $a^{2/5}$?

What is the result when dividing $a^{3/4}$ by $a^{1/2}$?

Which of the following is the correct simplification of $ig(ab^{1/2}ig)^{3/2}$ based on the raising a product to a power law?

What is the correct fractional exponent for the expression $b^{4}$ when expressed as a square root?

What is the result of simplifying the expression $rac{a^{5/6}}{a^{2/3}}$?

What is the result of applying the division of exponents to the expression $\frac{a^{4/5}}{a^{1/3}}$?

Which of the following correctly represents the power of a power for the expression $\left( a^{2/3} \right)^{3/4}$?

What expression results from applying the raising a quotient to a power law to $\left( \frac{a^3}{b^2} \right)^{2/5}$?

When simplifying the expression $a^{1/2} \times a^{1/4}$, what is the simplified exponent?

What is the simplified form of $\left(a^{5/6} \right)^{3/2}$?

When converting the expression $\sqrt[4]{b^8}$ to a rational exponent, what is the correct form?

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Gr 10 Math Ch 2: Rational Exponents

Questions and Answers

What is the result of multiplying $a^{1/2}$ by $a^{1/3}$?

Which of the following represents the division of $a^{2/3}$ by $a^{1/2}$?

What is the outcome of $(ab)^{2/3}$?

Which expression correctly simplifies the exponentiation of a quotient $\left( \frac{a}{b} \right)^{3/4}$?

What is the simplified form of $\left(a^{1/4}\right)^{3/2}$?

How would you convert the expression $\sqrt[5]{a^3}$ to rational exponents?

What is the outcome of applying the power of a power law to the expression $ig(a^{3/4}ig)^{2/5}$?

Which expression correctly represents the multiplication of $a^{1/3}$ and $a^{2/5}$?

What is the result when dividing $a^{3/4}$ by $a^{1/2}$?

Which of the following is the correct simplification of $ig(ab^{1/2}ig)^{3/2}$ based on the raising a product to a power law?

What is the correct fractional exponent for the expression $b^{4}$ when expressed as a square root?

What is the result of simplifying the expression $ rac{a^{5/6}}{a^{2/3}}$?

What is the result of applying the division of exponents to the expression $\frac{a^{4/5}}{a^{1/3}}$?

Which of the following correctly represents the power of a power for the expression $\left( a^{2/3} \right)^{3/4}$?

What expression results from applying the raising a quotient to a power law to $\left( \frac{a^3}{b^2} \right)^{2/5}$?

When simplifying the expression $a^{1/2} \times a^{1/4}$, what is the simplified exponent?

What is the simplified form of $\left(a^{5/6} \right)^{3/2}$?

When converting the expression $\sqrt[4]{b^8}$ to a rational exponent, what is the correct form?

More Quizzes Like This

Mastering the Properties of Rational Exponents

Rational Exponents Simplification

Rational Exponents and Laws

Algebra Class: Rational Exponents & Radicals

What is the outcome of applying the power of a power law to the expression $ig(a^{3/4}ig)^{2/5}$?

Which of the following is the correct simplification of $ig(ab^{1/2}ig)^{3/2}$ based on the raising a product to a power law?

What is the result of simplifying the expression $rac{a^{5/6}}{a^{2/3}}$?