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Popular >

simplify 12^{-9}*12^3

Solution

simplify

1 2^{- 9} \cdot 1 2^{3}

Solution

\frac{1}{2985984}

+1

Decimal Notation

3.34898 E - 7

Solution steps

1 2^{- 9} \cdot 1 2^{3}

Apply exponent rule:

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

1 2^{- 9} \cdot 1 2^{3} = 1 2^{- 9 + 3}

= 1 2^{- 9 + 3}

Add/Subtract the numbers:

- 9 + 3 = - 6

= 1 2^{- 6}

Apply exponent rule:

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

1 2^{- 6} = \frac{1}{1 2 ^{6}}

= \frac{1}{1 2 ^{6}}

1 2^{6} = 2985984

= \frac{1}{2985984}

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Frequently Asked Questions (FAQ)

What is 12^{-9}*12^3 ?
The solution to 12^{-9}*12^3 is 1/2985984