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4.02 Fractional powers

Interactive practice questions

Express $\sqrt{x}$x in exponential form.

Easy
< 1min

Express $\sqrt[6]{x}$6x in exponential form.

Easy
< 1min

Express $\sqrt[5]{x^7}$5x7 in exponential form.

Easy
< 1min

Express $\frac{1}{\sqrt{x}}$1x with a negative fractional exponent.

Easy
< 1min
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Outcomes

MGSE9-12.N.RN.1

Explain how the meaning of rational exponents follows from extending the properties of integer exponents to rational numbers, allowing for a notation for radicals in terms of rational exponents. For example, we define 5^(1/3) to be the cube root of 5 because we want [5^(1/3)]^3 = 5^[(1/3) x 3] to hold, so [5^(1/3)]^3 must equal 5.

MGSE9-12.N.RN.2

Rewrite expressions involving radicals and rational exponents using the properties of exponents.

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