What is (3\times 10^2)(1.5\times 10^{-5}) ?

The solution to (3\times 10^2)(1.5\times 10^{-5}) is 9/2000

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simplify (3\times 10^2)(1.5\times 10^{-5})

simplify

(3 \cdot 1 0^{2}) (1.5 \cdot 1 0^{- 5})

\frac{9}{2000}

Decimal Notation

0.0045

Solution steps

(3 \cdot 1 0^{2}) (1.5 \cdot 1 0^{- 5})

3 \cdot 1 0^{2} = 300

= 300 \cdot 1.5 \cdot 1 0^{- 5}

Apply exponent rule:

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

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

= 300 \cdot 1.5 \cdot \frac{1}{1 0 ^{5}}

1 0^{5} = 100000

= 300 \cdot 1.5 \cdot \frac{1}{100000}

Multiply the numbers:

300 \cdot 1.5 = 450

= 450 \cdot \frac{1}{100000}

= \frac{1}{100000} \cdot 450

\frac{1}{100000} \cdot 450 = \frac{9}{2000}

= \frac{9}{2000}

((\frac{2 ^{3}}{5 ^{3}})^{- 3})^{2}^{- \frac{1}{9}}

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

\frac{x ^{2} + y ^{2}}{x ^{2} + y ^{2} + z ^{2}}

\frac{3}{2 3} \cdot \frac{3}{3}

What is (3\times 10^2)(1.5\times 10^{-5}) ?
The solution to (3\times 10^2)(1.5\times 10^{-5}) is 9/2000