What is (((2^7)(2^4))/((2^4)^3))^{-3} ?

The solution to (((2^7)(2^4))/((2^4)^3))^{-3} is 8

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simplify (((2^7)(2^4))/((2^4)^3))^{-3}

simplify

(\frac{( 2 ^{7} ) ( 2 ^{4} )}{( 2 ^{4} ) ^{3}})^{- 3}

8

Solution steps

(\frac{( 2 ^{7} ) ( 2 ^{4} )}{( 2 ^{4} ) ^{3}})^{- 3}

Apply exponent rule:

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

= \frac{1}{( \frac{2 ^{7} \cdot 2 ^{4}}{( 2 ^{4} ) ^{3}} ) ^{3}}

(\frac{2 ^{7} \cdot 2 ^{4}}{( 2 ^{4} ) ^{3}})^{3} = (\frac{2 ^{11}}{( 2 ^{4} ) ^{3}})^{3}

= \frac{1}{( \frac{2 ^{11}}{( 2 ^{4} ) ^{3}} ) ^{3}}

(\frac{2 ^{11}}{( 2 ^{4} ) ^{3}})^{3} = \frac{1}{2 ^{3}}

= \frac{1}{\frac{1}{2 ^{3}}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{2 ^{3}}{1}

Apply rule

\frac{a}{1} = a

= 2^{3}

2^{3} = 8

= 8

1.17 \cdot 1 0^{- 4}

e^{- (t - 1)}

5 c b^{\frac{3}{2}} a

(\frac{5}{6})^{2} e^{- (\frac{5}{6})}

(e^{2 t}) (4 e^{- 2 t})

What is (((2^7)(2^4))/((2^4)^3))^{-3} ?
The solution to (((2^7)(2^4))/((2^4)^3))^{-3} is 8