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Popular >

simplify 2^{-3(8)}*4^{2(3)-2}

Solution

simplify

2^{- 3 (8)} \cdot 4^{2 (3) - 2}

Solution

\frac{1}{65536}

+1

Decimal Notation

0.00001 \dots

Solution steps

2^{- 3 (8)} \cdot 4^{2 (3) - 2}

2^{- 3 (8)} = \frac{1}{16777216}

= \frac{1}{16777216} \cdot 4^{2 \cdot 3 - 2}

2 \cdot 3 - 2 = 4

= \frac{1}{16777216} \cdot 4^{4}

4^{4} = 256

= \frac{1}{16777216} \cdot 256

\frac{1}{16777216} \cdot 256 = \frac{1}{65536}

= \frac{1}{65536}

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Frequently Asked Questions (FAQ)

What is 2^{-3(8)}*4^{2(3)-2} ?
The solution to 2^{-3(8)}*4^{2(3)-2} is 1/65536