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Popular >

simplify 5^210^{-4}pi0.3

Solution

simplify

5^{2} \cdot 1 0^{- 4} π \cdot 0.3

Solution

0.00235 \dots

Solution steps

5^{2} \cdot 1 0^{- 4} π 0.3

Apply exponent rule:

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

= 5^{2} \cdot 0.3 π \frac{1}{1 0 ^{4}}

Multiply fractions:

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

= 0.3 \cdot \frac{5 ^{2} \cdot 1 π}{1 0 ^{4}}

\frac{1 \cdot 5 ^{2} π}{1 0 ^{4}} = \frac{π}{400}

= 0.3 \cdot \frac{π}{400}

Multiply fractions:

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

= \frac{π 0.3}{400}

Multiply the numbers:

3.14159 \dots \cdot 0.3 = 0.94247 \dots

= \frac{0.94247 \dots}{400}

Divide the numbers:

\frac{0.94247 \dots}{400} = 0.00235 \dots

= 0.00235 \dots

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Frequently Asked Questions (FAQ)

What is 5^2*10^{-4}pi*0.3 ?
The solution to 5^2*10^{-4}pi*0.3 is 0.00235…