What is (3x10^7)(2x10^5) ?

The solution to (3x10^7)(2x10^5) is 10^{12}*6x^2

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simplify (3x10^7)(2x10^5)

simplify

(3 x 1 0^{7}) (2 x 1 0^{5})

1 0^{12} \cdot 6 x^{2}

Solution steps

(3 x \cdot 1 0^{7}) (2 x \cdot 1 0^{5})

Apply exponent rule:

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

1 0^{7} \cdot 1 0^{5} = 1 0^{7 + 5}

= 3 x \cdot 2 x \cdot 1 0^{7 + 5}

Add the numbers:

7 + 5 = 12

= 3 x \cdot 2 x \cdot 1 0^{12}

Apply exponent rule:

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

xx = x^{1 + 1}

= 3 \cdot 2 x^{1 + 1} \cdot 1 0^{12}

Add the numbers:

1 + 1 = 2

= 3 \cdot 2 x^{2} \cdot 1 0^{12}

Multiply the numbers:

3 \cdot 2 = 6

= 1 0^{12} \cdot 6 x^{2}

8.63 \cdot 1 0^{- 5} \cdot ln (70)

12 e^{- \frac{0.2}{0.225}}

(1 - 4 x)^{2} (1 + 4 x)^{2}

2.38 \cdot 1 0^{- 5}