What is (9.89*10^{-7})(-(sqrt(2))/2) ?

The solution to (9.89*10^{-7})(-(sqrt(2))/2) is -6.99329E-7

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simplify (9.89*10^{-7})(-(sqrt(2))/2)

simplify

(9.89 \cdot 1 0^{- 7}) (- \frac{2}{2})

- 6.99329 E - 7

Solution steps

(9.89 \cdot 1 0^{- 7}) (- \frac{2}{2})

Apply exponent rule:

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

= 9.89 \cdot \frac{1}{1 0 ^{7}} (- \frac{2}{2})

Remove parentheses:

(- a) = - a

= - 9.89 \cdot \frac{1}{1 0 ^{7}} \cdot \frac{2}{2}

\frac{2}{2} = \frac{1}{2}

= - 9.89 \cdot \frac{1}{1 0 ^{7}} \cdot \frac{1}{2}

Multiply fractions:

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

= - 9.89 \cdot \frac{1 \cdot 1}{1 0 ^{7} 2}

\frac{1 \cdot 1}{1 0 ^{7} 2} = \frac{1}{10000000 2}

= - 9.89 \cdot \frac{1}{10000000 2}

Multiply fractions:

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

= - \frac{1 \cdot 9.89}{10000000 2}

Multiply the numbers:

1 \cdot 9.89 = 9.89

= - \frac{9.89}{10000000 2}

Simplify

\frac{9.89}{10000000 2} : 6.99329 E - 7

= - 6.99329 E - 7

4 \cdot e^{- 1}

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70 e^{- 0.14727 (5)}

700 e^{- 0.084 (5)}

\frac{1}{8} (4) π (34)^{2}

What is (9.89*10^{-7})(-(sqrt(2))/2) ?
The solution to (9.89*10^{-7})(-(sqrt(2))/2) is -6.99329E-7