Question

Simplify this power raised to a power: (5^4)4

1. Expand using four factors of 5^4:         5^4 ∙ 5^4 ∙ 5^4 ∙ 5^4
2. Apply the product of powers rule:         5^4+ 4+ 4+ 4
3. Simplify:                   5^x
What is the value of x in the simplified power?

Answer 1

`5^(16)`

Explanation:

Answer 2

(5⁴)⁴ = 5⁴ x 5⁴ x 5⁴ x 5 ⁴ = 5⁽⁴⁺⁴⁺⁴⁺⁴⁾ = 5¹⁶

An other method: reminder : (xᵃ)ᵇ = xᵃᵇ; (5⁴)⁴ = 5⁴ˣ⁴ = 5¹⁶