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Popular >

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

Solution

simplify

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

Solution

\frac{27}{64}

+1

Decimal Notation

0.421875

Solution steps

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

Apply exponent rule:

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

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

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

Subtract the numbers:

6 - 3 = 3

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

Apply exponent rule:

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

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

3^{3} = 27

= \frac{27}{4 ^{3}}

4^{3} = 64

= \frac{27}{64}

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Frequently Asked Questions (FAQ)

What is (3/4)^6*(3/4)^{-3} ?
The solution to (3/4)^6*(3/4)^{-3} is 27/64