What is ((9/2)^{10})/((4/9)^{10)} ?

The solution to ((9/2)^{10})/((4/9)^{10)} is (9^{20})/(1073741824)

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simplify ((9/2)^{10})/((4/9)^{10)}

simplify

\frac{( \frac{9}{2} ) ^{10}}{( \frac{4}{9} ) ^{10}}

\frac{9 ^{20}}{1073741824}

Decimal Notation

11322708296.642572

Solution steps

\frac{( \frac{9}{2} ) ^{10}}{( \frac{4}{9} ) ^{10}}

(\frac{9}{2})^{10} = \frac{9 ^{10}}{1024}

= \frac{\frac{9 ^{10}}{1024}}{( \frac{4}{9} ) ^{10}}

(\frac{4}{9})^{10} = \frac{1048576}{9 ^{10}}

= \frac{\frac{9 ^{10}}{1024}}{\frac{1048576}{9 ^{10}}}

Apply the fraction rule:

\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a \cdot d}{b \cdot c}

= \frac{9 ^{10} \cdot 9 ^{10}}{1024 \cdot 1048576}

9^{10} \cdot 9^{10} = 9^{20}

= \frac{9 ^{20}}{1024 \cdot 1048576}

Multiply the numbers:

1024 \cdot 1048576 = 1073741824

= \frac{9 ^{20}}{1073741824}

(π^{2})^{2}

6. 1^{- 6} \cdot 6. 6^{- 12}

101.3 e^{- 0.00015 (3000)}

\frac{( ( 2 π ) ^{2} )}{198 2 ^{2}}

What is ((9/2)^{10})/((4/9)^{10)} ?
The solution to ((9/2)^{10})/((4/9)^{10)} is (9^{20})/(1073741824)