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

The solution to ((3/4)^6)/((3/4)^{-3)} is 19683/262144

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

\frac{19683}{262144}

Decimal Notation

0.07508 \dots

Solution steps

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

Apply exponent rule:

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

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

Apply rule

- (- a) = a

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

Add the numbers:

6 + 3 = 9

= (\frac{3}{4})^{9}

Apply exponent rule:

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

= \frac{3 ^{9}}{4 ^{9}}

3^{9} = 19683

= \frac{19683}{4 ^{9}}

4^{9} = 262144

= \frac{19683}{262144}

(\frac{2}{5})^{- 3} \cdot (\frac{3}{7})^{- 3}

(\frac{2}{3})^{5} \cdot (\frac{2}{3})^{3}

(x - 1) (x + 1)

(m - 3) (m + 3)

\frac{4}{2}

What is ((3/4)^6)/((3/4)^{-3)} ?
The solution to ((3/4)^6)/((3/4)^{-3)} is 19683/262144