simplify 4x^2y^{-3}

Solution

simplify

4 x^{2} y^{- 3}

\frac{4 x ^{2}}{y ^{3}}

Solution steps

4 x^{2} y^{- 3}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

y^{- 3} = \frac{1}{y ^{3}}

= 4 x^{2} \frac{1}{y ^{3}}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

Multiply the numbers:

4 \cdot 1 = 4

= \frac{4 x ^{2}}{y ^{3}}

- 36 - - 4

(b^{- 3})^{- 2}

(9 m + 10) 2

(x + y) (x - 2 y)