Question

What is (160×243)^1/5 simplified ​

Answer 1

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))

Answer 2

I'll teach you how to solve (160×243)^1/5

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

(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 :)