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

Answer:

1. $\frac{x^2}{y^3}$

2. $\frac{625x^{12}}{y^8}$

3. $\frac{6}{x^2y^9}$

Step-by-step 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

$\frac{x^2}{y^3}$

2.

Step 1: Multiply exponents

$\frac{5^4(x^{3})^{4}}{(y^2)^4}$

Step 2: Power

$\frac{625x^{12}}{y^8}$

3.

Step 1: Simplify

$\frac{6x^3y^{-3}}{x^5y^6}$

Step 2: Remove terms

$\frac{6y^{-3}}{x^2y^6}$

Step 3: Move $y^{-3}$ to the denominator

$\frac{6}{x^2y^6y^3}$

Step 4: Combine like terms

$\frac{6}{x^2y^9}$