What is (3\times 10^8)(6.8\times 10^{-13}) ?

The solution to (3\times 10^8)(6.8\times 10^{-13}) is 0.000204

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simplify (3\times 10^8)(6.8\times 10^{-13})

simplify

(3 \cdot 1 0^{8}) (6.8 \cdot 1 0^{- 13})

0.000204

Solution steps

(3 \cdot 1 0^{8}) (6.8 \cdot 1 0^{- 13})

Apply exponent rule:

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

1 0^{8} \cdot 1 0^{- 13} = 1 0^{8 - 13}

= 3 \cdot 6.8 \cdot 1 0^{8 - 13}

Subtract the numbers:

8 - 13 = - 5

= 3 \cdot 6.8 \cdot 1 0^{- 5}

Apply exponent rule:

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

1 0^{- 5} = \frac{1}{1 0 ^{5}}

= 3 \cdot 6.8 \cdot \frac{1}{1 0 ^{5}}

Multiply fractions:

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

= 6.8 \cdot \frac{1 \cdot 3}{1 0 ^{5}}

\frac{1 \cdot 3}{1 0 ^{5}} = \frac{3}{100000}

= 6.8 \cdot \frac{3}{100000}

Multiply fractions:

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

= \frac{3 \cdot 6.8}{100000}

Multiply the numbers:

3 \cdot 6.8 = 20.4

= \frac{20.4}{100000}

Divide the numbers:

\frac{20.4}{100000} = 0.000204

= 0.000204

e^{x} \cdot e^{- 2 x}

(x - 2)^{2} \cdot (x + 2)^{2}

2.2 \cdot 1 0^{- 16}

(1 + \frac{x}{2})^{- 2}

x^{2} e^{- x}

What is (3\times 10^8)(6.8\times 10^{-13}) ?
The solution to (3\times 10^8)(6.8\times 10^{-13}) is 0.000204