What is 2pi(pi(1/2)^2(3.29)) ?

The solution to 2pi(pi(1/2)^2(3.29)) is 16.23549…

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simplify 2pi(pi(1/2)^2(3.29))

simplify

2 π (π (\frac{1}{2})^{2} (3.29))

16.23549 \dots

Solution steps

2 π (π (\frac{1}{2})^{2} (3.29))

Apply exponent rule:

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

ππ = π^{1 + 1}

= 2 π^{1 + 1} (\frac{1}{2})^{2} \cdot 3.29

Add the numbers:

1 + 1 = 2

= 2 π^{2} (\frac{1}{2})^{2} \cdot 3.29

Apply exponent rule:

a^{m} b^{m} = (ab)^{m}

π^{2} (\frac{1}{2})^{2} = (π \frac{1}{2})^{2}

= 2 \cdot 3.29 (π \frac{1}{2})^{2}

π \frac{1}{2} = \frac{π}{2}

= 2 \cdot 3.29 (\frac{π}{2})^{2}

(\frac{π}{2})^{2} = \frac{π ^{2}}{2 ^{2}}

= 2 \cdot 3.29 \cdot \frac{π ^{2}}{2 ^{2}}

Multiply fractions:

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

= 3.29 \cdot \frac{2 π ^{2}}{2 ^{2}}

Cancel the common factor:

2

= 3.29 \cdot \frac{π ^{2}}{2}

Multiply fractions:

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

= \frac{π ^{2} \cdot 3.29}{2}

Convert element to a decimal form

π^{2} = 9.86960 \dots

= \frac{3.29 \cdot 9.86960 \dots}{2}

Multiply the numbers:

9.86960 \dots \cdot 3.29 = 32.47099 \dots

= \frac{32.47099 \dots}{2}

Divide the numbers:

\frac{32.47099 \dots}{2} = 16.23549 \dots

= 16.23549 \dots

4.55582 x 1 0^{- 6} \cdot 2

3^{32}

\frac{4}{3} π (1 0^{- 10})^{3}

e^{- g t} \cdot e^{g t}

What is 2pi(pi(1/2)^2(3.29)) ?
The solution to 2pi(pi(1/2)^2(3.29)) is 16.23549…