Rational exponents Practice Questions (Grade 9)

Rational exponents. Game on.

Rational exponents is a grade 9 math skill aligned to Common Core standard HSN.RN.A.1: explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values. Below are 8 practice questions with answers and step-by-step explanations, drawn from the 24 rational exponents problems our math games drill.

CCSS HSN.RN.A.124 questions in the bank

8 plays. No signup.

Warm-upeasy

Evaluate $4^{-2}\textsf{.}$

$4^{-2} = \dfrac{1}{4^{2}} = \dfrac{1}{16}\textsf{.}$

Mid-gameeasy

Evaluate $27^{-1/3}$ .

$27^{-1/3} = \dfrac{1}{27^{1/3}} = \dfrac{1}{3}$ .

Mid-gameeasy

Simplify: $16^{1/2}$ .

$16^{1/2} = \sqrt{16} = 4$ .

Mid-gameeasy

Simplify: $27^{2/3}$ .

$27^{2/3} = (\sqrt[3]{27})^2 = 3^2 = 9$ .

Mid-gameeasy

Write $\sqrt[3]{x^2}$ as $x^{a/b}$ in lowest terms. What is $a$ ?

$\sqrt[3]{x^2} = x^{2/3}$ , so $a = 2$ .

Mid-gameeasy

Which expression is equivalent to $\Large \sqrt[3]{x^{2}}\textsf{?}$

$\sqrt[3]{x^{2}} = x^{2/3}\textsf{.}$

Mid-gameeasy

Evaluate $4^{-2}$ . Give your answer as a fraction.

$4^{-2} = \dfrac{1}{4^2} = \dfrac{1}{16}$ .

Buzzer beatereasy

Simplify: $25^{1/2}$ .

$25^{1/2} = \sqrt{25} = 5$ .

Rational exponents. Game on.

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