Question

Helppp pleaseeeee

Which expression is equivalent to

Answer 1

The second option

Explanation:

First, simplify the bracket

`\frac{4r {}^(3) s {}^(2) t {}^(4) }{2r {}^(4) st {}^(6) }`

Apply Quotient of Powers

`2 {r}^( - 1) s {t}^( - 2)`

Which equals

`\frac{2s}{rt {}^(2) }`

Raise this to the fifth power

`\frac{32s {}^(5) }{ {r}^(5) t {}^(10) }`

Multiply by the outsides numbers(5^r^6 and t^4

`\frac{160 {}^{} r {}^(6)s {}^(5) t {}^(4) }{r {}^(5) t {}^(10) }`

`160r {}^(5) t {}^( - 6)`

`\frac{160r {}^{}s {}^(5) }{t {}^(6) }`