Question

Which expression is equivalent to(xy^5)^2(3x^4y)^3

Answer 1

27
`x^(14)`
`y^(13)`

Explanation:

When a power is raised to a power, you multiply the exponents. If you do not see an exponent, it is understood that the exponent is one.

`(xy^(5))^(2)`
`(3x^(4)y)^(3)`

`x^(2)`
`y^(10)`
`3^(3)`
`x^(12)`
`y^(3)` Now we multiple 3(3)(3) to get 27 and we add the exponents for the variables that are the same.

27
`x^(14)`
`y^(13)`