Question

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

Answer 1

we are given

`\frac{\sqrt[3]{7}√(7)}{\sqrt[6]{7^5}}`

we can write it in terms of exponents

`\frac{7^{(1)/(3)}*7^{(1)/(2)}}{7^{(5)/(6)}}`

Firstly , we will simplify numerator

`\frac{7^{(1)/(3)+(1)/(2)}}{7^{(5)/(6)}}`

now, we can add exponents

`\frac{7^{(5)/(6)}}{7^{(5)/(6)}}`

we can cancel it

and we get

`=1`............Answer