Question

Wasn’t sure how to write this out : - )

Answer 1

we are given

$\frac{\sqrt[3]{7}\sqrt{7}}{\sqrt[6]{7^5}}$

we can write it in terms of exponents

$\frac{7^{\frac{1}{3}}*7^{\frac{1}{2}}}{7^{\frac{5}{6}}}$

Firstly , we will simplify numerator

$\frac{7^{\frac{1}{3}+\frac{1}{2}}}{7^{\frac{5}{6}}}$

now, we can add exponents

$\frac{7^{\frac{5}{6}}}{7^{\frac{5}{6}}}$

we can cancel it

and we get

$=1$............Answer