Question

Please Hurry ...Which expression is equivalent to

Answer 1

`\huge\boxed{\sf (160rs^5)/(t^6)}`

Explanation:

`\sf 5r^6t^4 ( (4r^3s^tt^4)/(2r^4st^6) ) ^5`

Using rule of exponents
`\sf a^m/a^n = a^(m-n)`

`\sf 5r^6t^4 ( 2 r^(3-4) s^(2-1)t^(4-6))^5\\5r^6t^4(2r^(-1)st^(-2))^5\\5r^6t^4 * 32 r^(-5)s^5t^(-10)`

Using rule of exponents
`\sf a^m*a^n = a^(m+n)`

`\sf 160 r^(6-5)s^5t^(4-10)`

`\sf 160 rs^5 t^(-6)`

To equalize the negative sign, we'll move t to the denominator

`\sf (160rs^5)/(t^6)`