Exponent

Negative Fractional Exponents with Integer Base - Explanation to Answer (Level 2)

This math topic involves practicing with negative fractional exponents that have integer bases. Students are asked to identify what the given expression with a negative fractional exponent equates to. Each problem includes a base raised to a negative fractional power multiplied multiple times, and the students must match this expression with the correct answer option from several choices. The problems cover different integer bases and negative fractional exponents, testing understanding of simplifying such expressions and converting them into their equivalent forms.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

View Unit

Negative Fractional Exponents with Integer Base - Explanation to Answer

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.

Given the hint, what is the fractional exponent the same as?

8^{(\frac{-1}{3})} \cdot 8^{(\frac{-1}{3})} \cdot 8^{(\frac{-1}{3})} = \frac{1}{8} \\ 8^{(\frac{-1}{3})} = ?

Earned ?

Exponents - Negative Fractional Exponents with Integer Base - Explanation to Answer Worksheet

Math worksheet on 'Exponents - Negative Fractional Exponents with Integer Base - Explanation to Answer (Level 2)'. Part of a broader unit on 'Exponents - Fractional Bases and Exponents - Practice' Learn online: app.mobius.academy/math/units/exponents_fractional_bases_and_exponents_practice/

Given the hint, what is the fractional exponent the same as?

$A LaTex expression showing 25 to the power of (-1 over 2 ) times 25 to the power of (-1 over 2 ) = 1 over 25 \\ 25 to the power of (-1 over 2 ) = ?$

A LaTex expression showing 3-th root of 25

A LaTex expression showing 1 over 5 to the power of 2

A LaTex expression showing 1 over 25 to the power of 2

Given the hint, what is the fractional exponent the same as?

$A LaTex expression showing 125 to the power of (-1 over 3 ) times 125 to the power of (-1 over 3 ) times 125 to the power of (-1 over 3 ) = 1 over 125 \\ 125 to the power of (-1 over 3 ) = ?$

A LaTex expression showing 1 over 125 to the power of 2

A LaTex expression showing 4-th root of 125

Given the hint, what is the fractional exponent the same as?

$A LaTex expression showing 32 to the power of (-1 over 5 ) times 32 to the power of (-1 over 5 ) times 32 to the power of (-1 over 5 ) times 32 to the power of (-1 over 5 ) times 32 to the power of (-1 over 5 ) = 1 over 32 \\ 32 to the power of (-1 over 5 ) = ?$

A LaTex expression showing 6-th root of 32

A LaTex expression showing 1 over 32 to the power of 2

A LaTex expression showing 1 over 2 to the power of 2

Given the hint, what is the fractional exponent the same as?

$A LaTex expression showing 9 to the power of (-1 over 2 ) times 9 to the power of (-1 over 2 ) = 1 over 9 \\ 9 to the power of (-1 over 2 ) = ?$

A LaTex expression showing 3-th root of 9

A LaTex expression showing 1 over 3 to the power of 2

A LaTex expression showing 1 over 9 to the power of 2

Given the hint, what is the fractional exponent the same as?

$A LaTex expression showing 64 to the power of (-1 over 3 ) times 64 to the power of (-1 over 3 ) times 64 to the power of (-1 over 3 ) = 1 over 64 \\ 64 to the power of (-1 over 3 ) = ?$

A LaTex expression showing 1 over 4 to the power of 2

A LaTex expression showing 4-th root of 64

A LaTex expression showing 1 over 64 to the power of 2

Given the hint, what is the fractional exponent the same as?

$A LaTex expression showing 216 to the power of (-1 over 3 ) times 216 to the power of (-1 over 3 ) times 216 to the power of (-1 over 3 ) = 1 over 216 \\ 216 to the power of (-1 over 3 ) = ?$