Simplify (x^-2y^0z^2)/(xy)

$\frac{x^{- 2} y^{0} z^{2}}{x y}$

Step 1

Move $x^{- 2}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

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

Step 2

Move $y^{0}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{z^{2} y^{0}}{x y x^{2} y^{0}}$

Step 3

Simplify the denominator.

Multiply $x$ by $x^{2}$ by adding the exponents.

Move $x^{2}$ .

$\frac{z^{2} y^{0}}{x^{2} x y \cdot y^{0}}$

Multiply $x^{2}$ by $x$ .

Raise $x$ to the power of $1$ .

$\frac{z^{2} y^{0}}{x^{2} x^{1} y \cdot y^{0}}$

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

$\frac{z^{2} y^{0}}{x^{2 + 1} y \cdot y^{0}}$

Add $2$ and $1$ .

$\frac{z^{2} y^{0}}{x^{3} y \cdot y^{0}}$

Multiply $y$ by $y^{0}$ by adding the exponents.

Move $y^{0}$ .

$\frac{z^{2} y^{0}}{x^{3} (y^{0} y)}$

Multiply $y^{0}$ by $y$ .

Raise $y$ to the power of $1$ .

$\frac{z^{2} y^{0}}{x^{3} (y^{0} y^{1})}$

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

$\frac{z^{2} y^{0}}{x^{3} y^{0 + 1}}$

Add $0$ and $1$ .

$\frac{z^{2} y^{0}}{x^{3} y^{1}}$

Simplify $x^{3} y^{1}$ .

$\frac{z^{2} y^{0}}{x^{3} y}$

Step 4

Move $y^{0}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{z^{2}}{x^{3} y \cdot y^{0}}$

Step 5

Simplify the denominator.

Multiply $y$ by $y^{0}$ by adding the exponents.

Move $y^{0}$ .

$\frac{z^{2}}{x^{3} (y^{0} y)}$

Multiply $y^{0}$ by $y$ .

Raise $y$ to the power of $1$ .

$\frac{z^{2}}{x^{3} (y^{0} y^{1})}$

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

$\frac{z^{2}}{x^{3} y^{0 + 1}}$

Add $0$ and $1$ .

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

Simplify $x^{3} y^{1}$ .

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

Simplify (x^-2y^0z^2)/(xy)

Related Questions

Support LCMGCF.com by disabling your adblocker.