What is (3/5)^4(8/5)^{-12}(32/5)^6 ?

The solution to (3/5)^4(8/5)^{-12}(32/5)^6 is 2025/64

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simplify (3/5)^4(8/5)^{-12}(32/5)^6

simplify

(\frac{3}{5})^{4} (\frac{8}{5})^{- 12} (\frac{32}{5})^{6}

\frac{2025}{64}

Decimal Notation

31.640625

Solution steps

(\frac{3}{5})^{4} (\frac{8}{5})^{- 12} (\frac{32}{5})^{6}

(\frac{3}{5})^{4} = \frac{81}{625}

= \frac{81}{625} (\frac{8}{5})^{- 12} (\frac{32}{5})^{6}

(\frac{8}{5})^{- 12} = \frac{244140625}{8 ^{12}}

= \frac{81}{625} \cdot \frac{244140625}{8 ^{12}} (\frac{32}{5})^{6}

(\frac{32}{5})^{6} = \frac{3 2 ^{6}}{15625}

= \frac{81}{625} \cdot \frac{244140625}{8 ^{12}} \cdot \frac{3 2 ^{6}}{15625}

\frac{81}{625} \cdot \frac{244140625}{8 ^{12}} \cdot \frac{3 2 ^{6}}{15625} = \frac{2025}{64}

= \frac{2025}{64}

- 2.53 \cdot e^{- 0.023 (3)}

(3.016 \cdot 1 0^{2}) \cdot (0.041 \cdot 1 0^{- 1})

\frac{d ^{2}}{d ^{2} t} (A e^{- (B x + Ct)^{2}})

a + b \cdot a - b

5000 \frac{[ 1 - ( 1.04 ) ^{- 9} ]}{0.04} (1.04)^{- 3}

What is (3/5)^4(8/5)^{-12}(32/5)^6 ?
The solution to (3/5)^4(8/5)^{-12}(32/5)^6 is 2025/64