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Popular >

simplify 2^{-2}*2^{-2}

Solution

simplify

2^{- 2} \cdot 2^{- 2}

Solution

\frac{1}{16}

+1

Decimal Notation

0.0625

Solution steps

2^{- 2} \cdot 2^{- 2}

Apply exponent rule:

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

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

= 2^{- 2 - 2}

Subtract the numbers:

- 2 - 2 = - 4

= 2^{- 4}

Apply exponent rule:

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

2^{- 4} = \frac{1}{2 ^{4}}

= \frac{1}{2 ^{4}}

2^{4} = 16

= \frac{1}{16}

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Frequently Asked Questions (FAQ)

What is 2^{-2}*2^{-2} ?
The solution to 2^{-2}*2^{-2} is 1/16