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Popular >

simplify (-3)^20.3^{-3}

Solution

simplify

(- 3)^{2} 0. 3^{- 3}

Solution

333.33333 \dots

Solution steps

(- 3)^{2} \cdot 0. 3^{- 3}

Apply exponent rule:

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

= (- 3)^{2} \frac{1}{0. 3 ^{3}}

(- 3)^{2} = 3^{2}

= 3^{2} \cdot \frac{1}{0. 3 ^{3}}

Multiply fractions:

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

= \frac{1 \cdot 3 ^{2}}{0. 3 ^{3}}

Multiply:

1 \cdot 3^{2} = 3^{2}

= \frac{3 ^{2}}{0. 3 ^{3}}

3^{2} = 9

= \frac{9}{0. 3 ^{3}}

0. 3^{3} = 0.027

= \frac{9}{0.027}

Divide the numbers:

\frac{9}{0.027} = 333.33333 \dots

= 333.33333 \dots

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Frequently Asked Questions (FAQ)

What is (-3)^20.3^{-3} ?
The solution to (-3)^20.3^{-3} is 333.33333…