Question

Simplify cube root of 7 / Fifth root of 7

A. 7 to the power of 1 over 5
B. 7 to the power of 8 over 15
C. 7 to the power of 5 over 3
D. 7 to the power of 2 over 15

Answer 1

7^(1/3) : 7^( 1/5)= 7^(1/3 -1/5)=7^[(5-3)/15]= 7^[2/15]

the answer is D

Answer 2

Option D. is the answer.

Explanation:

we have to simplify the cube root of
`\frac{\sqrt[3]{7}}{\sqrt[5]{7} }`

=
`\frac{7^{(1)/(3)}}{7^{(1)/(5) } }`

=
`7^{(1)/(3)-(1)/(5)}`

=
`7^{((5-3)/(15))}`

=
`7^{(2)/(15)}`

Therefore, Option D. 7 to the power of 2 over 15 is the answer.