What is (2x10^7)(8x10^-9) ?

The solution to (2x10^7)(8x10^-9) is 10^7*144x^2

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simplify (2x10^7)(8x10^-9)

simplify

(2 x 1 0^{7}) (8 x 1 0^{-} 9)

1 0^{7} \cdot 144 x^{2}

Solution steps

(2 x \cdot 1 0^{7}) (8 x \cdot 1 0^{-} \cdot 9)

Apply exponent rule:

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

1 0^{7} \cdot 1 0^{-} = 1 0^{7 -}

= 2 x \cdot 8 x \cdot 1 0^{7 -} \cdot 9

Apply exponent rule:

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

xx = x^{1 + 1}

= 2 \cdot 8 x^{1 + 1} \cdot 1 0^{7 -} \cdot 9

Add the numbers:

1 + 1 = 2

= 2 \cdot 8 x^{2} \cdot 1 0^{7 -} \cdot 9

Multiply the numbers:

2 \cdot 8 \cdot 9 = 144

= 144 \cdot 1 0^{7} x^{2}

5 (40 x^{4}) (8 x^{5} - 3)^{4}

8.01 x 1 0^{- 4}

46.6 e^{- 0.466}

e^{- 3 w} e^{- 5 w}

9.852 \cdot 1 0^{- 10}