What is (9.2\times 10^{-20})(3.6\times 10^{17}) ?

The solution to (9.2\times 10^{-20})(3.6\times 10^{17}) is 0.03312

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simplify (9.2\times 10^{-20})(3.6\times 10^{17})

simplify

(9.2 \cdot 1 0^{- 20}) (3.6 \cdot 1 0^{17})

0.03312

Solution steps

(9.2 \cdot 1 0^{- 20}) (3.6 \cdot 1 0^{17})

Apply exponent rule:

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

= 1 0^{17} \cdot 3.6 \cdot 9.2 \cdot \frac{1}{1 0 ^{20}}

Multiply fractions:

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

= 3.6 \cdot 9.2 \cdot \frac{1 0 ^{17} \cdot 1}{1 0 ^{20}}

\frac{1 \cdot 1 0 ^{17}}{1 0 ^{20}} = \frac{1}{1000}

= 3.6 \cdot 9.2 \cdot \frac{1}{1000}

Multiply the numbers:

9.2 \cdot 3.6 = 33.12

= 33.12 \cdot \frac{1}{1000}

Multiply fractions:

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

= \frac{1 \cdot 33.12}{1000}

Multiply the numbers:

1 \cdot 33.12 = 33.12

= \frac{33.12}{1000}

Divide the numbers:

\frac{33.12}{1000} = 0.03312

= 0.03312

2^{16}

8.88 \cdot 1 0^{- 16}

a 3^{2}

9 \frac{1}{2} x^{8} \frac{2}{3} x \frac{π}{45}

What is (9.2\times 10^{-20})(3.6\times 10^{17}) ?
The solution to (9.2\times 10^{-20})(3.6\times 10^{17}) is 0.03312