What is 1/2 (2)^2((3pi)/4) ?

The solution to 1/2 (2)^2((3pi)/4) is (3pi)/2

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simplify 1/2 (2)^2((3pi)/4)

simplify

\frac{1}{2} (2)^{2} (\frac{3 π}{4})

\frac{3 π}{2}

Decimal Notation

4.71238 \dots

Solution steps

\frac{1}{2} \cdot 2^{2} (\frac{3 π}{4})

Remove parentheses:

(a) = a

= \frac{1}{2} \cdot 2^{2} \cdot \frac{3 π}{4}

Multiply fractions:

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

= \frac{1 \cdot 3 π 2 ^{2}}{2 \cdot 4}

Multiply the numbers:

1 \cdot 3 = 3

= \frac{2 ^{2} \cdot 3 π}{2 \cdot 4}

Multiply the numbers:

2 \cdot 4 = 8

= \frac{2 ^{2} \cdot 3 π}{8}

Factor

8 : 2^{3}

= \frac{2 ^{2} \cdot 3 π}{2 ^{3}}

Cancel

\frac{3 π 2 ^{2}}{2 ^{3}} : \frac{3 π}{2}

= \frac{3 π}{2}

m - 18 \leq 36

9 (1 + x) - 8 (x + 2) = 2 x

4 ∣ 8 x - 2 ∣ = 8

60.9 + 30

- \frac{\frac{6}{7}}{( - \frac{3}{8} )}