Question

Please help me this math is timed it's in Algebra. I'll double points. 1. (x^-2 y^3)^-1 2. (5x^3/y^2)^4 3. 36x^3y^-3/6x^5y^-6 Maybe more, but right now that's it.

Answer 1

1.
`(x^2)/(y^3)`

2.
`(625x^(12))/(y^8)`

3.
`(6)/(x^2y^9)`

Explanation:

Remember, when you exponent an exponent, you multiply the powers.

When you multiply exponents, you add them.

When you divide exponents, you subtract them.

1.

Step 1: Multiply exponents

`x^2y^(-3)`

Step 2: Move
`y^(-3)` to the denominator

`(x^2)/(y^3)`

2.

Step 1: Multiply exponents

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

Step 2: Power

`(625x^(12))/(y^8)`

3.

Step 1: Simplify

`(6x^3y^(-3))/(x^5y^6)`

Step 2: Remove terms

`(6y^(-3))/(x^2y^6)`

Step 3: Move
`y^(-3)` to the denominator

`(6)/(x^2y^6y^3)`

Step 4: Combine like terms

`(6)/(x^2y^9)`