Respuesta :
160 = 2 x 2 x 2 x 2 x 2 x 5 = 2^5 x 5
243 = 3 x 3 x 3 x 3 x 3 = 3^5
So
(160 * 243)^1/5
= 5th root of (160 * 243)
= 5th root of (2^5 * 5 * 3^5)
= 2 * 3 * (5th root of 5)
= 6 * (5th root of 5)
Answer is D. 6 * (5th root of 5)
243 = 3 x 3 x 3 x 3 x 3 = 3^5
So
(160 * 243)^1/5
= 5th root of (160 * 243)
= 5th root of (2^5 * 5 * 3^5)
= 2 * 3 * (5th root of 5)
= 6 * (5th root of 5)
Answer is D. 6 * (5th root of 5)
An expression is defined as a set of numbers, variables, and mathematical operations. The correct option is D.
What is an Expression?
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The value of the expression (160x243)^(1/5) can be written as,
[tex](160 \times 243)^{\frac15}\\\\= 160^{\frac15} \times 243^{\frac15}\\\\= \sqrt[5]{2^5 \times 5} \times \sqrt[5]{3^5}\\\\= 2\sqrt[5]5 \times 3\\\\= 6\sqrt[5]{5}[/tex]
Hence, the correct option is D.
Learn more about Expression:
https://brainly.com/question/13947055
#SPJ2
