What is (-7/9)^{-2}left(-7/9)^{-5} ?

The solution to (-7/9)^{-2}left(-7/9)^{-5} is -(4782969elft)/(823543)

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simplify (-7/9)^{-2}left(-7/9)^{-5}

simplify

(- \frac{7}{9})^{- 2} l e f t (- \frac{7}{9})^{- 5}

- \frac{4782969 e l f t}{823543}

Solution steps

(- \frac{7}{9})^{- 2} l e f t (- \frac{7}{9})^{- 5}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

(- \frac{7}{9})^{- 2} (- \frac{7}{9})^{- 5} = (- \frac{7}{9})^{- 2 - 5}

= l e f t (- \frac{7}{9})^{- 2 - 5}

Subtract the numbers:

- 2 - 5 = - 7

= l e f t (- \frac{7}{9})^{- 7}

(- \frac{7}{9})^{- 7} = - \frac{9 ^{7}}{7 ^{7}}

= e (- \frac{9 ^{7}}{7 ^{7}}) l f t

Remove parentheses:

(- a) = - a

= - l e f t \frac{9 ^{7}}{7 ^{7}}

Multiply fractions:

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

= - \frac{9 ^{7} l e f t}{7 ^{7}}

Refine

= - \frac{4782969 e l f t}{823543}

1.35 (2.802) e^{- 2.802 (2.802)}

\frac{( x + 2 ) ^{2}}{( x + 1 ) ^{2}}

(1 + x) (1 - 2 x)^{- \frac{1}{2}}

20 \cdot \frac{1}{8} \cdot e^{- 0.0675 \cdot 5}

(40.17 \cdot 40.17)^{- 1} \cdot 40.17 \cdot (- 18.09)

What is (-7/9)^{-2}left(-7/9)^{-5} ?
The solution to (-7/9)^{-2}left(-7/9)^{-5} is -(4782969elft)/(823543)