simplify a^2b^{-3}

Solution

simplify

a^{2} b^{- 3}

\frac{a ^{2}}{b ^{3}}

Solution steps

a^{2} b^{- 3}

Apply exponent rule:

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

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

= a^{2} \frac{1}{b ^{3}}

Apply the fraction rule:

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

= \frac{a ^{2} \cdot 1}{b ^{3}}

Apply rule:

a \cdot 1 = a

a^{2} \cdot 1 = a^{2}

= \frac{a ^{2}}{b ^{3}}

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

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cos^{22} (x) - sin^{22} (x)

\frac{( 5 x ^{4} - 3 x ^{3} + 2 x ^{2} - 7 x + 3 )}{( x - 1 )}