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Popular >

simplify 4^3*4^{-6}

Solution

simplify

4^{3} \cdot 4^{- 6}

Solution

\frac{1}{64}

+1

Decimal Notation

0.015625

Solution steps

4^{3} \cdot 4^{- 6}

Apply exponent rule:

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

4^{3} \cdot 4^{- 6} = 4^{3 - 6}

= 4^{3 - 6}

Subtract the numbers:

3 - 6 = - 3

= 4^{- 3}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

4^{- 3} = \frac{1}{4 ^{3}}

= \frac{1}{4 ^{3}}

4^{3} = 64

= \frac{1}{64}

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Frequently Asked Questions (FAQ)

What is 4^3*4^{-6} ?
The solution to 4^3*4^{-6} is 1/64