What is ((0.36)^{-3})/((6000)^{-3)} ?

The solution to ((0.36)^{-3})/((6000)^{-3)} is 4629629629629.629

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simplify ((0.36)^{-3})/((6000)^{-3)}

simplify

\frac{( 0.36 ) ^{- 3}}{( 6000 ) ^{- 3}}

4629629629629.629

Solution steps

\frac{( 0.36 ) ^{- 3}}{( 6000 ) ^{- 3}}

Apply exponent rule:

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

\frac{0.3 6 ^{- 3}}{600 0 ^{- 3}} = (\frac{0.36}{6000})^{- 3}

= (\frac{0.36}{6000})^{- 3}

Apply exponent rule:

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

= \frac{1}{( \frac{0.36}{6000} ) ^{3}}

Apply exponent rule:

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

(\frac{0.36}{6000})^{3} = \frac{0.3 6 ^{3}}{600 0 ^{3}}

= \frac{1}{\frac{0.3 6 ^{3}}{600 0 ^{3}}}

Apply the fraction rule:

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

= \frac{600 0 ^{3}}{0.3 6 ^{3}}

0.3 6^{3} = 0.046656

= \frac{600 0 ^{3}}{0.046656}

Convert element to a decimal form

600 0^{3} = 216000000000

= \frac{216000000000}{0.046656}

Divide the numbers:

\frac{216000000000}{0.046656} = 4629629629629.629

= 4629629629629.629

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

((((- 2)^{2})^{3})^{4})^{\frac{1}{3}}

(2 x^{3}) (3 x^{2})

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

(6 x) (4 x (x^{2} - 1))

What is ((0.36)^{-3})/((6000)^{-3)} ?
The solution to ((0.36)^{-3})/((6000)^{-3)} is 4629629629629.629