HomePricing
Sign InJoin

Exponents - Fractional Exponents with Integer Base - Explanation to Radical (Level 1)

This math topic focuses on understanding fractional exponents with integer bases through comparison to radicals. It targets foundational skills in exponents and radicals by posing questions that guide the learner to associate fractional exponents with equivalent radical expressions for integer bases like 4, 9, 16, 25, and 36. Each problem provides a fractional exponent expression and multiple choice answers depicting various radical forms, requiring learners to select the equivalent radical expression. This is an introductory level aimed at building comprehension in fractional bases and exponents.

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

View Unit

Fractional Exponents with Integer Base - Explanation to Radical

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?

9(12)â‹…9(12)=99(12)=?9^{(\frac{1}{2})} \cdot 9^{(\frac{1}{2})} = 9 \\ 9^{(\frac{1}{2})} = ?

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

Mobius Math Club logo
Math worksheet on 'Exponents - Fractional Exponents with Integer Base - Explanation to Radical (Level 1)'. 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/
1
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 ) = 25 \\ 25 to the power of (1 over 2 ) = ?
a A LaTex expression showing square root of 25
b A LaTex expression showing 2square root of 25
c A LaTex expression showing 1
d A LaTex expression showing 3square root of 25
e A LaTex expression showing 4square root of 25
f A LaTex expression showing 5square root of 25
2
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 A LaTex expression showing 1 over square root of 4
b A LaTex expression showing square root of 4
c A LaTex expression showing square root of 4 to the power of 2
d A LaTex expression showing square root of 2
e A LaTex expression showing 1
f A LaTex expression showing 4square root of 4
3
Given the hint, what is the fractional exponent the same as?
A LaTex expression showing 36 to the power of (1 over 2 ) times 36 to the power of (1 over 2 ) = 36 \\ 36 to the power of (1 over 2 ) = ?
a A LaTex expression showing 1
b A LaTex expression showing 4square root of 36
c A LaTex expression showing square root of 36 to the power of 2
d A LaTex expression showing 1 over square root of 36
e A LaTex expression showing 2square root of 36
f A LaTex expression showing square root of 36
4
Given the hint, what is the fractional exponent the same as?
A LaTex expression showing 16 to the power of (1 over 2 ) times 16 to the power of (1 over 2 ) = 16 \\ 16 to the power of (1 over 2 ) = ?
a A LaTex expression showing 2square root of 16
b A LaTex expression showing 1 over square root of 16
c A LaTex expression showing square root of 16
d A LaTex expression showing square root of 4
e A LaTex expression showing 4square root of 16
f A LaTex expression showing 1
5
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 ) = 9 \\ 9 to the power of (1 over 2 ) = ?
a A LaTex expression showing square root of 9
b A LaTex expression showing square root of 3
c A LaTex expression showing 4square root of 9
d A LaTex expression showing 1 over square root of 9
e A LaTex expression showing 2square root of 9
f A LaTex expression showing 1