What is [(-9/16)^{-3}]^{-2} ?

The solution to [(-9/16)^{-3}]^{-2} is 531441/16777216

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simplify [(-9/16)^{-3}]^{-2}

simplify

[(- \frac{9}{16})^{- 3}]^{- 2}

\frac{531441}{16777216}

Decimal Notation

0.03167 \dots

Solution steps

((- \frac{9}{16})^{- 3})^{- 2}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

= (- \frac{9}{16})^{- 3 (- 2)}

- 3 (- 2) = 6

= (- \frac{9}{16})^{6}

Apply exponent rule:

(- a)^{n} = a^{n},

n

is even

(- \frac{9}{16})^{6} = (\frac{9}{16})^{6}

= (\frac{9}{16})^{6}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{9 ^{6}}{1 6 ^{6}}

\frac{9 ^{6}}{1 6 ^{6}} = \frac{531441}{16777216}

= \frac{531441}{16777216}

- 0.4 e^{- 0.002 \cdot 100}

e^{5 t} \cdot e^{- 5 t}

0.3 (e^{- 5})

1995 \cdot (\frac{400}{418.8})^{- 1.6}

e^{- j \cdot \frac{2 π}{8} \cdot 7}

What is [(-9/16)^{-3}]^{-2} ?
The solution to [(-9/16)^{-3}]^{-2} is 531441/16777216