Evaluate (x^2y^-4y^-8)/(x^3)

Solve Math

Algebra

$\frac{x^{2} y^{- 4} y^{- 8}}{x^{3}}$

Multiply $y^{- 4}$ by $y^{- 8}$ by adding the exponents.

Tap for more steps...

Move $y^{- 8}$ .

$\frac{x^{2} (y^{- 8} y^{- 4})}{x^{3}}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{x^{2} y^{- 8 - 4}}{x^{3}}$

Subtract $4$ from $- 8$ .

$\frac{x^{2} y^{- 12}}{x^{3}}$

Move $y^{- 12}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{x^{2}}{x^{3} y^{12}}$

Cancel the common factor of $x^{2}$ and $x^{3}$ .

Tap for more steps...

Multiply by $1$ .

$\frac{x^{2} \cdot 1}{x^{3} y^{12}}$

Cancel the common factors.

Tap for more steps...

Factor $x^{2}$ out of $x^{3} y^{12}$ .

$\frac{x^{2} \cdot 1}{x^{2} (x y^{12})}$

Cancel the common factor.

$\frac{x^{2} \cdot 1}{x^{2} (x y^{12})}$

Rewrite the expression.

$\frac{1}{x y^{12}}$

Do you know how to Evaluate (x^2y^-4y^-8)/(x^3)? If not, you can write to our math experts in our application. The best solution for your task you can find above on this page.

Calculate the Square Root square root of 22

Find the X and Y Intercepts y=x-6

Find the Inverse f(x)=x/8-7

Expand log of (a*b)^2

Solve Using the Quadratic Formula 3x^2+2x-3=0