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

This math topic focuses on understanding and applying the concept of fractional exponents with integer bases. Students are required to identify the equivalent form of a given fractional exponent expression. The problems include finding what a fractional exponent represents, such as the cube root, square root, or fourth root of numbers like 125, 32, 27, 16, 36, and 81. Each question provides multiple choices with different root evaluations of the base number. This helps in building proficiency in interpreting and simplifying fractional exponent expressions.

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Fractional Exponents with Integer Base - Explanation to Answer

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

216^{(\frac{1}{3})} \cdot 216^{(\frac{1}{3})} \cdot 216^{(\frac{1}{3})} = 216 \\ 216^{(\frac{1}{3})} = ?

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

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

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

$A LaTex expression showing 4 to the power of (1 over 2 ) times 4 to the power of (1 over 2 ) = 4 \\ 4 to the power of (1 over 2 ) = ?$

A LaTex expression showing 1 over 2-th root of 4

A LaTex expression showing 2-th root of 4

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

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

A LaTex expression showing 1 over 5-th root of 32

A LaTex expression showing 5-th root of 32

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

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

A LaTex expression showing 3-th root of 216

A LaTex expression showing 1 over 3-th root of 216

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

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

A LaTex expression showing 3-th root of 125

A LaTex expression showing 1 over 3-th root of 125

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

$A LaTex expression showing 81 to the power of (1 over 4 ) times 81 to the power of (1 over 4 ) times 81 to the power of (1 over 4 ) times 81 to the power of (1 over 4 ) = 81 \\ 81 to the power of (1 over 4 ) = ?$