Evaluate (3x^-3y^2x^-4y^-4)/(3xy^23yx^-1)

$\frac{3 x^{- 3} y^{2} \cdot x^{- 4} y^{- 4}}{3 x y^{2} \cdot 3 y x^{- 1}}$

Multiply $x^{- 3}$ by $x^{- 4}$ by adding the exponents.

Move $x^{- 4}$ .

$\frac{3 (x^{- 4} x^{- 3}) y^{2} \cdot y^{- 4}}{3 x y^{2} \cdot (3 y x^{- 1})}$

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

$\frac{3 x^{- 4 - 3} y^{2} \cdot y^{- 4}}{3 x y^{2} \cdot (3 y x^{- 1})}$

Subtract $3$ from $- 4$ .

$\frac{3 x^{- 7} y^{2} \cdot y^{- 4}}{3 x y^{2} \cdot (3 y x^{- 1})}$

Multiply $y^{2}$ by $y^{- 4}$ by adding the exponents.

Move $y^{- 4}$ .

$\frac{3 x^{- 7} (y^{- 4} y^{2})}{3 x y^{2} \cdot (3 y x^{- 1})}$

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

$\frac{3 x^{- 7} y^{- 4 + 2}}{3 x y^{2} \cdot (3 y x^{- 1})}$

Add $- 4$ and $2$ .

$\frac{3 x^{- 7} y^{- 2}}{3 x y^{2} \cdot (3 y x^{- 1})}$

Multiply $x$ by $x^{- 1}$ by adding the exponents.

Move $x^{- 1}$ .

$\frac{3 x^{- 7} y^{- 2}}{3 (x^{- 1} x) y^{2} \cdot (3 y)}$

Multiply $x^{- 1}$ by $x$ .

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

$\frac{3 x^{- 7} y^{- 2}}{3 (x^{- 1} x^{1}) y^{2} \cdot (3 y)}$

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

$\frac{3 x^{- 7} y^{- 2}}{3 x^{- 1 + 1} y^{2} \cdot (3 y)}$

Add $- 1$ and $1$ .

$\frac{3 x^{- 7} y^{- 2}}{3 x^{0} y^{2} \cdot (3 y)}$

Simplify $3 x^{0} y^{2} \cdot (3 y)$ .

$\frac{3 x^{- 7} y^{- 2}}{3 y^{2} \cdot (3 y)}$

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

Move $y$ .

$\frac{3 x^{- 7} y^{- 2}}{3 (y \cdot y^{2}) \cdot 3}$

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

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

$\frac{3 x^{- 7} y^{- 2}}{3 (y^{1} y^{2}) \cdot 3}$

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

$\frac{3 x^{- 7} y^{- 2}}{3 y^{1 + 2} \cdot 3}$

Add $1$ and $2$ .

$\frac{3 x^{- 7} y^{- 2}}{3 y^{3} \cdot 3}$

Move $x^{- 7}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{3 y^{- 2}}{3 y^{3} \cdot 3 x^{7}}$

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

$\frac{3}{3 y^{3} \cdot 3 x^{7} y^{2}}$

Multiply $y^{3}$ by $y^{2}$ by adding the exponents.

Move $y^{2}$ .

$\frac{3}{3 (y^{2} y^{3}) \cdot 3 x^{7}}$

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

$\frac{3}{3 y^{2 + 3} \cdot 3 x^{7}}$

Add $2$ and $3$ .

$\frac{3}{3 y^{5} \cdot 3 x^{7}}$

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3}{3 y^{5} \cdot 3 x^{7}}$

Rewrite the expression.

$\frac{1}{y^{5} \cdot 3 x^{7}}$

Move $3$ to the left of $y^{5}$ .

$\frac{1}{3 y^{5} x^{7}}$

Evaluate (3x^-3y^2*x^-4y^-4)/(3xy^2*3yx^-1)

Related Questions

Support LCMGCF.com by disabling your adblocker.

Evaluate (3x^-3y^2x^-4y^-4)/(3xy^23yx^-1)