What is ((0.00036)^{-3})/((6000)^{-3)} ?

The solution to ((0.00036)^{-3})/((6000)^{-3)} is 4.62963E21

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simplify ((0.00036)^{-3})/((6000)^{-3)}

simplify

\frac{( 0.00036 ) ^{- 3}}{( 6000 ) ^{- 3}}

4.62963 E 21

Solution steps

\frac{( 0.00036 ) ^{- 3}}{( 6000 ) ^{- 3}}

Apply exponent rule:

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

\frac{0.0003 6 ^{- 3}}{600 0 ^{- 3}} = (\frac{0.00036}{6000})^{- 3}

= (\frac{0.00036}{6000})^{- 3}

Apply exponent rule:

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

= \frac{1}{( \frac{0.00036}{6000} ) ^{3}}

Apply exponent rule:

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

(\frac{0.00036}{6000})^{3} = \frac{0.0003 6 ^{3}}{600 0 ^{3}}

= \frac{1}{\frac{0.0003 6 ^{3}}{600 0 ^{3}}}

Apply the fraction rule:

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

= \frac{600 0 ^{3}}{0.0003 6 ^{3}}

0.0003 6^{3} = 4.6656 E - 11

= \frac{600 0 ^{3}}{4.6656 E - 11}

Convert element to a decimal form

600 0^{3} = 216000000000

= \frac{216000000000}{4.6656 E - 11}

Divide the numbers:

\frac{216000000000}{4.6656 E - 11} = 4.62963 E 21

= 4.62963 E 21

(e^{- 3})^{2}

- e^{- 10}

x e^{- \frac{x ^{2}}{8}}

x (1 - x)

e^{- 4 t} \cdot e^{- 4 t}

What is ((0.00036)^{-3})/((6000)^{-3)} ?
The solution to ((0.00036)^{-3})/((6000)^{-3)} is 4.62963E21