What is (6.4x10^8)(7.5x10^{-5}) ?

The solution to (6.4x10^8)(7.5x10^{-5}) is 48000x^2

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simplify (6.4x10^8)(7.5x10^{-5})

simplify

(6.4 x 1 0^{8}) (7.5 x 1 0^{- 5})

48000 x^{2}

Solution steps

(6.4 x \cdot 1 0^{8}) (7.5 x \cdot 1 0^{- 5})

Simplify

7.5 x \cdot 1 0^{- 5} : \frac{7.5 x}{100000}

= 6.4 x \cdot 1 0^{8} \cdot \frac{7.5 x}{100000}

Apply the fraction rule:

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

= \frac{6.4 x \cdot 1 0 ^{8} \cdot 7.5 x}{100000}

Apply exponent rule:

aa = a^{2}

xx = x^{2}

= \frac{6.4 x ^{2} \cdot 1 0 ^{8} \cdot 7.5}{100000}

Cancel

\frac{6.4 x ^{2} \cdot 1 0 ^{8} \cdot 7.5}{100000} : 6.4 x^{2} \cdot 1 0^{3} \cdot 7.5

= 6.4 x^{2} \cdot 1 0^{3} \cdot 7.5

Multiply the numbers:

6.4 \cdot 7.5 = 48

= 48 x^{2} \cdot 1 0^{3}

= 1 0^{3} \cdot 48 x^{2}

1 0^{3} = 1000

= 1000 \cdot 48 x^{2}

Multiply the numbers:

1000 \cdot 48 = 48000

= 48000 x^{2}

(7 m^{2} n) (6 m n^{3})

1.25 \cdot 1 0^{- 6}

4.2 \cdot 1 0^{- 2}

a^{\frac{3}{2}}

e^{- y} (e^{y} y)

What is (6.4x10^8)(7.5x10^{-5}) ?
The solution to (6.4x10^8)(7.5x10^{-5}) is 48000x^2