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Popular >

simplify 3^50.3^{-1}

Solution

simplify

3^{5} 0. 3^{- 1}

Solution

810

Solution steps

3^{5} \cdot 0. 3^{- 1}

Apply exponent rule:

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

= 3^{5} \cdot \frac{1}{0.3}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 3 ^{5}}{0.3}

Multiply:

1 \cdot 3^{5} = 3^{5}

= \frac{3 ^{5}}{0.3}

3^{5} = 243

= \frac{243}{0.3}

Divide the numbers:

\frac{243}{0.3} = 810

= 810

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1.66 \cdot 1 0^{- 11} \cdot 300

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[(3^{2})^{5}]^{7}

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0.3 \cdot 1 0^{- 1}

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\frac{1 3 ^{6}}{7 ^{6}}

Frequently Asked Questions (FAQ)

What is 3^50.3^{-1} ?
The solution to 3^50.3^{-1} is 810