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Popular >

simplify 3^{-1}*3^0

Solution

simplify

3^{- 1} \cdot 3^{0}

Solution

\frac{1}{3}

+1

Decimal Notation

0.33333 \dots

Solution steps

3^{- 1} \cdot 3^{0}

Apply exponent rule:

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

3^{- 1} \cdot 3^{0} = 3^{- 1 + 0}

= 3^{- 1 + 0}

Add/Subtract the numbers:

- 1 + 0 = - 1

= 3^{- 1}

Apply exponent rule:

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

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

= \frac{1}{3}

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Frequently Asked Questions (FAQ)

What is 3^{-1}*3^0 ?
The solution to 3^{-1}*3^0 is 1/3