What is (1/2 sqrt(2))(-2/5 sqrt(2))(7/3 sqrt(2)) ?

The solution to (1/2 sqrt(2))(-2/5 sqrt(2))(7/3 sqrt(2)) is -(14sqrt(2))/(15)

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simplify (1/2 sqrt(2))(-2/5 sqrt(2))(7/3 sqrt(2))

simplify

(\frac{1}{2} 2) (- \frac{2}{5} 2) (\frac{7}{3} 2)

- \frac{14 2}{15}

Decimal Notation

- 1.31993 \dots

Solution steps

(\frac{1}{2} 2) (- \frac{2}{5} 2) (\frac{7}{3} 2)

Apply radical rule:

a a = a

22 = 2

= 2 \cdot \frac{1}{2} \cdot \frac{7}{3} (- 2 \frac{2}{5})

Remove parentheses:

(- a) = - a

= - \frac{1}{2} \cdot \frac{2}{5} 2 \frac{7}{3} \cdot 2

Multiply fractions:

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

= - \frac{1 \cdot 2 \cdot 7 2 \cdot 2}{2 \cdot 5 \cdot 3}

Cancel the common factor:

2

= - \frac{1 \cdot 7 2 \cdot 2}{5 \cdot 3}

Multiply the numbers:

1 \cdot 7 \cdot 2 = 14

= - \frac{14 2}{5 \cdot 3}

Multiply the numbers:

5 \cdot 3 = 15

= - \frac{14 2}{15}

- 3 x^{2} y^{2} (2 x^{2} y^{3} + 5 x - 3 y)

2 \cdot π \cdot 60 \cdot 2.5 \cdot 1 0^{- 3}

(8.1 x 1 0^{- 7}) (3.6 x 1 0^{2})

\frac{e ^{2 x}}{e ^{2}}

What is (1/2 sqrt(2))(-2/5 sqrt(2))(7/3 sqrt(2)) ?
The solution to (1/2 sqrt(2))(-2/5 sqrt(2))(7/3 sqrt(2)) is -(14sqrt(2))/(15)