What is (2.4x10^{-5})(5x10^8) ?

The solution to (2.4x10^{-5})(5x10^8) is 12000x^2

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simplify (2.4x10^{-5})(5x10^8)

simplify

(2.4 x 1 0^{- 5}) (5 x 1 0^{8})

12000 x^{2}

Solution steps

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

Simplify

2.4 x \cdot 1 0^{- 5} : \frac{2.4 x}{100000}

= \frac{2.4 x}{100000} \cdot 5 x \cdot 1 0^{8}

Apply the fraction rule:

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

= \frac{2.4 x \cdot 5 x \cdot 1 0 ^{8}}{100000}

Apply exponent rule:

aa = a^{2}

xx = x^{2}

= \frac{2.4 x ^{2} \cdot 5 \cdot 1 0 ^{8}}{100000}

Cancel

\frac{2.4 x ^{2} \cdot 5 \cdot 1 0 ^{8}}{100000} : 2.4 x^{2} \cdot 2^{3} \cdot 5^{4}

= 2.4 x^{2} \cdot 2^{3} \cdot 5^{4}

2^{3} = 8

= 2.4 x^{2} \cdot 8 \cdot 5^{4}

5^{4} = 625

= 2.4 x^{2} \cdot 8 \cdot 625

Multiply the numbers:

2.4 \cdot 8 \cdot 625 = 12000

= 12000 x^{2}

(16 x yz) (8 x^{2} z)

0 (e^{- 2 t})

123 res t a u r an t s n e a r

e^{(- 2 x)}

- e^{- 0.1 x}

What is (2.4x10^{-5})(5x10^8) ?
The solution to (2.4x10^{-5})(5x10^8) is 12000x^2