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Popular >

simplify 12^{-7}*12^5

Solution

simplify

1 2^{- 7} \cdot 1 2^{5}

Solution

\frac{1}{144}

+1

Decimal Notation

0.00694 \dots

Solution steps

1 2^{- 7} \cdot 1 2^{5}

Apply exponent rule:

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

1 2^{- 7} \cdot 1 2^{5} = 1 2^{- 7 + 5}

= 1 2^{- 7 + 5}

Add/Subtract the numbers:

- 7 + 5 = - 2

= 1 2^{- 2}

Apply exponent rule:

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

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

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

1 2^{2} = 144

= \frac{1}{144}

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Frequently Asked Questions (FAQ)

What is 12^{-7}*12^5 ?
The solution to 12^{-7}*12^5 is 1/144