What is ((3/4)^6)/((3/4)^{-6)} ?

The solution to ((3/4)^6)/((3/4)^{-6)} is 531441/16777216

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simplify ((3/4)^6)/((3/4)^{-6)}

simplify

\frac{( \frac{3}{4} ) ^{6}}{( \frac{3}{4} ) ^{- 6}}

\frac{531441}{16777216}

Decimal Notation

0.03167 \dots

Solution steps

\frac{( \frac{3}{4} ) ^{6}}{( \frac{3}{4} ) ^{- 6}}

Apply exponent rule:

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

= (\frac{3}{4})^{6 - (- 6)}

Apply rule

- (- a) = a

= (\frac{3}{4})^{6 + 6}

Add the numbers:

6 + 6 = 12

= (\frac{3}{4})^{12}

Apply exponent rule:

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

= \frac{3 ^{12}}{4 ^{12}}

3^{12} = 531441

= \frac{531441}{4 ^{12}}

4^{12} = 16777216

= \frac{531441}{16777216}

0.5 e^{- 0.5}

(2)^{11}

e^{- 0.2 (10)}

e^{- 5 (0)}

What is ((3/4)^6)/((3/4)^{-6)} ?
The solution to ((3/4)^6)/((3/4)^{-6)} is 531441/16777216