What is ((s^6t^{-4})/(4s^{-1)t})^{-2} ?

The solution to ((s^6t^{-4})/(4s^{-1)t})^{-2} is (16t^{10})/(s^{14)}

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simplify ((s^6t^{-4})/(4s^{-1)t})^{-2}

simplify

(\frac{s ^{6} t ^{- 4}}{4 s ^{- 1} t})^{- 2}

\frac{16 t ^{10}}{s ^{14}}

Solution steps

(\frac{s ^{6} t ^{- 4}}{4 s ^{- 1} t})^{- 2}

Apply exponent rule:

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

(\frac{s ^{6} t ^{- 4}}{4 s ^{- 1} t})^{- 2} = \frac{1}{( \frac{s ^{6} t ^{- 4}}{4 s ^{- 1} t} ) ^{2}}

= \frac{1}{( \frac{s ^{6} t ^{- 4}}{4 s ^{- 1} t} ) ^{2}}

Simplify

(\frac{s ^{6} t ^{- 4}}{4 s ^{- 1} t})^{2} : \frac{s ^{14}}{16 t ^{10}}

= \frac{1}{\frac{s ^{14}}{16 t ^{10}}}

Apply the fraction rule:

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

= \frac{16 t ^{10}}{s ^{14}}

\frac{1}{x} < 0

x < 0

\frac{2}{5 - i}

- 12 = 2 + 5 v + 2 v

What is ((s^6t^{-4})/(4s^{-1)t})^{-2} ?
The solution to ((s^6t^{-4})/(4s^{-1)t})^{-2} is (16t^{10})/(s^{14)}