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Fractional base raised to exponent

Fractional base raised to an exponent

This math skill involves raising a fractional base to a given exponent. It is done by multiplying the fraction by itself as many times as indicated by the exponent. The numerator and denominator are each raised to the power of the exponent separately to find the final result.

Learn fractional base raised to exponent

Teaching Transcript

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What is two fifths, raised to the power of three?

We can expand the exponenent so we have the base fraction multiplied by itself three times.

Fraction multiplication is multiplying the top numbers and multiplying the bottom numbers, so it's 2 cubed, over 5 cubed

Calculating those exponents, we have a final answer of 8 over 125

Skill Practice

Fractional base raised to an exponent

Test your understanding of fractional base raised to exponent by practicing it! Work through the below exercises to use it in practice.