Question

Please help thanks!!

Answer 1

we are given

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

we can rewrite it in exponential form

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

Since, numerator terms are multiplied

so, we can add exponents

we get

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

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

we can see that numerator and denominator are same

so, they will get cancelled

and we get

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