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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?

Respuesta :

mreijepatmat
(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

Answer:

[tex]5^{16}[/tex]

Step-by-step explanation:

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