Respuesta :
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))
I'll teach you how to solve (160×243)^1/5
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(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:
[tex]6*5^{\frac{1}{5} }[/tex]
Your Answer Is [tex]6*5^{\frac{1}{5} }[/tex]
Plz mark me as brainliest if this helped :)