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Popular >

simplify (2^{-3})(2^{-3})

Solution

simplify

(2^{- 3}) (2^{- 3})

Solution

\frac{1}{64}

+1

Decimal Notation

0.015625

Solution steps

(2^{- 3}) (2^{- 3})

Apply rule:

(a) = a

(2^{- 3}) = 2^{- 3}

= 2^{- 3} \cdot 2^{- 3}

Apply exponent rule:

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

2^{- 3} \cdot 2^{- 3} = 2^{- 3 - 3}

= 2^{- 3 - 3}

Subtract the numbers:

- 3 - 3 = - 6

= 2^{- 6}

Apply exponent rule:

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

2^{- 6} = \frac{1}{2 ^{6}}

= \frac{1}{2 ^{6}}

2^{6} = 64

= \frac{1}{64}

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Frequently Asked Questions (FAQ)

What is (2^{-3})(2^{-3}) ?
The solution to (2^{-3})(2^{-3}) is 1/64