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Popular >

simplify 3^{-7}*2^{-4}

Solution

simplify

3^{- 7} \cdot 2^{- 4}

Solution

\frac{1}{34992}

+1

Decimal Notation

0.00002 \dots

Solution steps

3^{- 7} \cdot 2^{- 4}

3^{- 7} = \frac{1}{2187}

= \frac{1}{2187} \cdot 2^{- 4}

Apply exponent rule:

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

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

= \frac{1}{2187} \cdot \frac{1}{2 ^{4}}

2^{4} = 16

= \frac{1}{2187} \cdot \frac{1}{16}

\frac{1}{2187} \cdot \frac{1}{16} = \frac{1}{34992}

= \frac{1}{34992}

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Frequently Asked Questions (FAQ)

What is 3^{-7}*2^{-4} ?
The solution to 3^{-7}*2^{-4} is 1/34992