simplify a^6b^{-6}

Solution

simplify

a^{6} b^{- 6}

\frac{a ^{6}}{b ^{6}}

Solution steps

a^{6} b^{- 6}

Apply exponent rule:

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

b^{- 6} = \frac{1}{b ^{6}}

= a^{6} \frac{1}{b ^{6}}

Apply the fraction rule:

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

= \frac{a ^{6} \cdot 1}{b ^{6}}

Apply rule:

a \cdot 1 = a

a^{6} \cdot 1 = a^{6}

= \frac{a ^{6}}{b ^{6}}

(6 + 3)^{2}

4 x^{2} y^{4} - 36 x^{4} y^{2}

2 m^{5} + 12 m^{4} + 18 m^{3}

(4 x^{2} + x - 2) (x^{2} + x + 2)

(- 3 y)^{2}