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1.13 Thank you! (Sorry it’s so blurry)

1.13 Thank you! (Sorry it’s so blurry)-example-1
User Awimley
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1 Answer

6 votes

\sqrt[8]{48^4} can be rewritten as
48^4 to the
(1)/(8) power:


(48^4)^ (1)/(8)

Now, applying exponent rules (multiply exponent inside parentheses by the one outside parentheses), we get:


(48^ (1)/(2))

This is equivalent to
√(48), so now, we just simplify:


√(48)= √(16*3)= √(16)* √(3)=4 √(3)

So:


\sqrt[8]{48^4} =4 √(3)


User Alockrem
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7.8k points

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