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Popular >

simplify 2^34^24^{-3}2^{-1}

Solution

simplify

2^{3} 4^{2} 4^{- 3} 2^{- 1}

Solution

1

Solution steps

2^{3} \cdot 4^{2} \cdot 4^{- 3} \cdot 2^{- 1}

2^{3} \cdot 2^{- 1} = 4

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

Apply exponent rule:

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

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

= 4 \cdot 4^{2 - 3}

Subtract the numbers:

2 - 3 = - 1

= 4 \cdot 4^{- 1}

Apply exponent rule:

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

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

= 4 \cdot \frac{1}{4}

4 \cdot \frac{1}{4} = 1

= 1

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Frequently Asked Questions (FAQ)

What is 2^34^24^{-3}2^{-1} ?
The solution to 2^34^24^{-3}2^{-1} is 1