What is ((3/2)^{10})/((4/3)^{10)} ?

The solution to ((3/2)^{10})/((4/3)^{10)} is 3486784401/1073741824

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simplify ((3/2)^{10})/((4/3)^{10)}

simplify

\frac{( \frac{3}{2} ) ^{10}}{( \frac{4}{3} ) ^{10}}

\frac{3486784401}{1073741824}

Decimal Notation

3.24732 \dots

Solution steps

\frac{( \frac{3}{2} ) ^{10}}{( \frac{4}{3} ) ^{10}}

(\frac{3}{2})^{10} = \frac{59049}{1024}

= \frac{\frac{59049}{1024}}{( \frac{4}{3} ) ^{10}}

(\frac{4}{3})^{10} = \frac{1048576}{59049}

= \frac{\frac{59049}{1024}}{\frac{1048576}{59049}}

Apply the fraction rule:

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

= \frac{59049 \cdot 59049}{1024 \cdot 1048576}

Multiply the numbers:

59049 \cdot 59049 = 3486784401

= \frac{3486784401}{1024 \cdot 1048576}

Multiply the numbers:

1024 \cdot 1048576 = 1073741824

= \frac{3486784401}{1073741824}

1.2 \cdot 1 0^{- 6}

1 0^{- 2}

14^{2}

e^{- \frac{1}{1}}

e^{4 x} \cdot e^{4 x}

What is ((3/2)^{10})/((4/3)^{10)} ?
The solution to ((3/2)^{10})/((4/3)^{10)} is 3486784401/1073741824