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Popular >

simplify 2^32^22^{-4}

Solution

simplify

2^{3} \cdot 2^{2} \cdot 2^{- 4}

Solution

2

Solution steps

2^{3} \cdot 2^{2} \cdot 2^{- 4}

Apply exponent rule:

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

2^{3} \cdot 2^{2} \cdot 2^{- 4} = 2^{3 + 2 - 4}

= 2^{3 + 2 - 4}

Add/Subtract the numbers:

3 + 2 - 4 = 1

= 2^{1}

Apply exponent rule:

a^{1} = a

= 2

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Frequently Asked Questions (FAQ)

What is 2^3*2^2*2^{-4} ?
The solution to 2^3*2^2*2^{-4} is 2