Question

Select the correct answer for each drop down menu

Answer 1

`a=15, b=7, c=4`

Explanation:

`\sqrt[4]{15^7}`

First we write the given expression in exponential form

`\sqrt[c]{a^b} =a^{(b)/(c)}`

WE apply the above property

`\sqrt[4]{15^7}=15^{(7)/(5)}`

Now we compare with the rule and find the value of a,b,c

`a=15, b=7, c=4`

Answer 2

The n-th root is the same as the (1/n)-th power.

The rules of exponents mean the exponents multiply in
(15^7)^(1/4)
so you have
15^(7/4)

Comparing forms, you see that
a = 15, b = 7, c = 4