What is simplify-2.7(920-2t)*(920-2t)^{-7/2} ?

The solution to simplify-2.7(920-2t)*(920-2t)^{-7/2} is -(27)/(10(920-2t)^{5/2)}

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simplify-2.7(920-2t)*(920-2t)^{-7/2}

simplify

- 2.7 (920 - 2 t) \cdot (920 - 2 t)^{- \frac{7}{2}}

- \frac{27}{10 ( 920 - 2 t ) ^{\frac{5}{2}}}

Solution steps

- 2.7 (920 - 2 t) (920 - 2 t)^{- \frac{7}{2}}

Apply exponent rule:

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

(920 - 2 t) (920 - 2 t)^{- \frac{7}{2}} = (920 - 2 t)^{1 - \frac{7}{2}}

= - 2.7 (920 - 2 t)^{1 - \frac{7}{2}}

1 - \frac{7}{2} = - \frac{5}{2}

= - 2.7 (920 - 2 t)^{- \frac{5}{2}}

Apply exponent rule:

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

(920 - 2 t)^{- \frac{5}{2}} = \frac{1}{( 920 - 2 t ) ^{\frac{5}{2}}}

= - 2.7 \cdot \frac{1}{( 920 - 2 t ) ^{\frac{5}{2}}}

Simplify

- 2.7 \cdot \frac{1}{( 920 - 2 t ) ^{\frac{5}{2}}} : - \frac{2.7}{( 920 - 2 t ) ^{\frac{5}{2}}}

= - \frac{2.7}{( 920 - 2 t ) ^{\frac{5}{2}}}

Simplify

\frac{2.7}{( 920 - 2 t ) ^{\frac{5}{2}}} : \frac{27}{10 ( 920 - 2 t ) ^{\frac{5}{2}}}

= - \frac{27}{10 ( 920 - 2 t ) ^{\frac{5}{2}}}

\frac{1}{\frac{2}{\frac{1}{4}}}

\frac{4}{3} + \frac{1}{10}

- 4 < 2 x - 2 \leq 4

8 x^{2} y + 6 x y^{2}

x^{2} + 2 x - 24 \geq 0

What is simplify-2.7(920-2t)*(920-2t)^{-7/2} ?
The solution to simplify-2.7(920-2t)*(920-2t)^{-7/2} is -(27)/(10(920-2t)^{5/2)}