Question

A number to the 8th power divided by the same number to the 6th power equals 64. What is the number?

The number is

Answer 1

4

Explanation:

Let the number = X

You have X^8 / X^5

When dividing two numbers with powers, Simplify the expression by subtracting the powers.

8-5=3

so X^8 / X^5 becomes x^3

Now you have x^3 = 64

To find x take the cubic root of 64:

X = ∛64

X = 4

The number is 4