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Ilia_Sergeevich [38]
3 years ago
13

What is (160×243)^1/5 simplified ​

Mathematics
2 answers:
Julli [10]3 years ago
4 0

Answer:

Step-by-step explanation:

Prime factorize those numbers.

160= 2^5 *5

243 = 3^5

160 * 243 = 2^5 * 3^5 * 5

Taking the fifth root, we get

6(fifth root( 5))

lisabon 2012 [21]3 years ago
4 0
<h3>I'll teach you how to solve (160×243)^1/5</h3>

--------------------------------------------------------

(160×243)^1/5

Apply exponent rule:

(160×243)^1/5= 160^1/5 * 243^1/5

160^1/5= 2*5^1/5

2*5^1/5 * 243^1/5

Factor the number 243:

(3^5)^1/5

Apply exponent rule:

(3^5)^1/5= 3^5*1/5= 3

2*3*5^1/5

Multiply the numbers:

6*5^{\frac{1}{5} }

Your Answer Is 6*5^{\frac{1}{5} }

Plz mark me as brainliest if this helped :)

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