Question

“Simplify the following using the properties of exponents”

A). (3x^-3y^5)^4

B). 5x^0

Answer 1

`A)81x^(-12)y^(20)\\\\B)5\\\\C) x^(2)/(3)`

Explanation:

`A) (3x^(-3)y^5)^4=(3)^4 \,\cdot\, (x^(-3))^4\,\cdot\,(y^5)^4=81x^(-12)y^(20)\\\\B) 5x^0=5(1)=5\\\\C) \frac{x^{(5)/(6) }}{x^{(1)/(6) }} =x^{(5)/(6) -(1)/(6) }=x^{(5-1)/(6) }=x^{(4)/(6) }=x^(2)/(3)`