Question

If (5^4)m=5^12 What is the value of M

Answer 1

5⁸

Explanation:

(5⁴)m = 5¹²

Divide both sides by 5⁴

((5⁴)m)/5⁴ = 5¹²/5⁴

m = 5⁸

Answer 2

Explanation:

Easy way to solve

5^4 = 625.

5^12=244140625.

Thus, 625m=244140625.

Divide both sides by 625/

m=390625, or 5^8.

Better way to solve

When dividing by exponents
`x^(4)/x^(2) =x^(4-2)=x^2`

Thus, simply do 12-4=8 to know that m=5^8.

Hope it helps <3