simplify (-9)^{-3}

Solution

simplify

(- 9)^{- 3}

- \frac{1}{729}

Decimal Notation

- 0.00137 \dots

Solution steps

(- 9)^{- 3}

Apply exponent rule:

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

(- 9)^{- 3} = \frac{1}{( - 9 ) ^{3}}

= \frac{1}{( - 9 ) ^{3}}

(- 9)^{3} = - 729

= \frac{1}{- 729}

Apply the fraction rule:

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

= - \frac{1}{729}

(- 8 x - 3) + (- 7 x^{2} + 2 x + 4)

2 lo g_{3} (2) - 2 lo g_{9} (4)

125 a^{3} + 8 b^{3}

25 w^{2} - 16 z^{2}