Respuesta :

Answer: step 2 was incorrectly done

Step-by-step explanation:

(4×4^5)^-3/4^11= (4^5)^-3/4^11

= 4^-15 / 4^11

= 1/4^26

Answer:

Step 2 is incorrect.

In step 2, instead of using this rule:

(nᵃ)ᵇ = nᵃ ˣ ᵇ

Carlos used this rule instead:

nᵃ × nᵇ = nᵃ ⁺ ᵇ

That's why it resulted to 4² instead of 4⁻¹⁵

So step 2 must be like

[tex]\frac{4^{-15} }{4^{11} }[/tex]

Now for the rest of solving,

4⁻¹⁵ ÷ 4¹¹ = 4⁻¹⁵ ⁻ ¹¹ = 4⁻²⁶ = [tex]\frac{1}{4^{26} }[/tex]

Cheers

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