What is 3(9e^{-6})(26(pi(0.8)^2))(70) ?

The solution to 3(9e^{-6})(26(pi(0.8)^2))(70) is 244.90525…

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simplify 3(9e^{-6})(26(pi(0.8)^2))(70)

simplify

3 (9 e^{- 6}) (26 (π (0.8)^{2})) (70)

244.90525 \dots

Solution steps

3 (9 e^{- 6}) (26 (π (0.8)^{2})) (70)

Apply exponent rule:

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

= 3 \cdot 9 \cdot 26 \cdot 70 \cdot 0. 8^{2} π \frac{1}{e ^{6}}

Multiply fractions:

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

= \frac{1 \cdot 3 \cdot 9 \cdot 26 π 0. 8 ^{2} \cdot 70}{e ^{6}}

Multiply the numbers:

1 \cdot 3 \cdot 9 \cdot 26 \cdot 70 = 49140

= \frac{49140 \cdot 0. 8 ^{2} π}{e ^{6}}

49140 π 0. 8^{2} = 31449.6 π

= \frac{31449.6 π}{e ^{6}}

Convert element to a decimal form

e^{6} = 403.42879 \dots

= \frac{31449.6 π}{403.42879 \dots}

Multiply the numbers:

31449.6 \cdot 3.14159 \dots = 98801.83231 \dots

= \frac{98801.83231 \dots}{403.42879 \dots}

Divide the numbers:

\frac{98801.83231 \dots}{403.42879 \dots} = 244.90525 \dots

= 244.90525 \dots

e^{- 0.13074}

\frac{5}{5} d es a rro ll a r

4.17 \cdot 1 0^{- 6}

3.14 \cdot 7^{2} \cdot 7

What is 3(9e^{-6})(26(pi(0.8)^2))(70) ?
The solution to 3(9e^{-6})(26(pi(0.8)^2))(70) is 244.90525…