What is (3/4)^{-12}*(3/4)^{25} ?

The solution to (3/4)^{-12}*(3/4)^{25} is 1594323/67108864

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simplify (3/4)^{-12}*(3/4)^{25}

simplify

(\frac{3}{4})^{- 12} \cdot (\frac{3}{4})^{25}

\frac{1594323}{67108864}

Decimal Notation

0.02375 \dots

Solution steps

(\frac{3}{4})^{- 12} (\frac{3}{4})^{25}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

(\frac{3}{4})^{- 12} (\frac{3}{4})^{25} = (\frac{3}{4})^{- 12 + 25}

= (\frac{3}{4})^{- 12 + 25}

Add/Subtract the numbers:

- 12 + 25 = 13

= (\frac{3}{4})^{13}

Apply exponent rule:

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

= \frac{3 ^{13}}{4 ^{13}}

\frac{3 ^{13}}{4 ^{13}} = \frac{1594323}{67108864}

= \frac{1594323}{67108864}

e^{- \frac{3 π}{2}}

e^{- 4275.958}

What is (3/4)^{-12}*(3/4)^{25} ?
The solution to (3/4)^{-12}*(3/4)^{25} is 1594323/67108864