Select the correct answer from each drop-down menu

Question

asked Dec 6, 2020 86.7k views

2 Answers

Jfsantos · Answer 1 · 2020-12-12T03:53:30+0000

For this expression:

a=15 , b=7 and c=4

We are asked to find the value of a,b and c by representing the given expression:

$\sqrt[4]{15^7}$ in the form of:
$a^{(b)/(c)}$

where a is the base and b is the numerator of the exponent and c is the denominator of the exponent.

We know that the expression of the type:

$\sqrt[n]{x}$ is also written as:

$x^{(1)/(n)}$

Hence, we get our expression as:

$\sqrt[4]{15^7}=(15^7)^{(1)/(4)}\\ \\\\i.e.\\\\\\\sqrt[4]{15^7}=(15)^{(7)/(4)}$

Hence, we have:

a=15, b=7 and c=4