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Popular >

simplify (3^{699})(3^{-703})

Solution

simplify

(3^{699}) (3^{- 703})

Solution

\frac{1}{81}

+1

Solution steps

(3^{699}) (3^{- 703})

Apply exponent rule:

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

3^{699} \cdot 3^{- 703} = 3^{699 - 703}

= 3^{699 - 703}

Subtract the numbers:

699 - 703 = - 4

= 3^{- 4}

Apply exponent rule:

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

= \frac{1}{3 ^{4}}

3^{4} = 81

= \frac{1}{81}

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Frequently Asked Questions (FAQ)

What is (3^{699})(3^{-703}) ?
The solution to (3^{699})(3^{-703}) is 1/81