What is ((-9)^5)/(9^{-5)}*((-9)^3)^{-3} ?

The solution to ((-9)^5)/(9^{-5)}*((-9)^3)^{-3} is 9

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simplify ((-9)^5)/(9^{-5)}*((-9)^3)^{-3}

simplify

\frac{( - 9 ) ^{5}}{9 ^{- 5}} \cdot ((- 9)^{3})^{- 3}

9

Solution steps

\frac{( - 9 ) ^{5}}{9 ^{- 5}} ((- 9)^{3})^{- 3}

((- 9)^{3})^{- 3} : (- 9)^{- 9}

= \frac{( - 9 ) ^{5}}{9 ^{- 5}} (- 9)^{- 9}

\frac{( - 9 ) ^{5}}{9 ^{- 5}} = - 9^{10}

= - (- 9)^{- 9} \cdot 9^{10}

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

= - 9^{10} (- \frac{1}{9 ^{9}})

Apply rule

- (- a) = a

= 9^{10} \cdot \frac{1}{9 ^{9}}

Multiply fractions:

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

= \frac{1 \cdot 9 ^{10}}{9 ^{9}}

Multiply:

1 \cdot 9^{10} = 9^{10}

= \frac{9 ^{10}}{9 ^{9}}

Apply exponent rule:

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

\frac{9 ^{10}}{9 ^{9}} = 9^{10 - 9}

= 9^{10 - 9}

Subtract the numbers:

10 - 9 = 1

= 9

3.2 \cdot 1 0^{- 19} \cdot 400

5 x

(4.21 \cdot 1 0^{- 3}) (56200)

3.2 \times 1 0^{- 2}

What is ((-9)^5)/(9^{-5)}*((-9)^3)^{-3} ?
The solution to ((-9)^5)/(9^{-5)}*((-9)^3)^{-3} is 9