What is (3x10^6)x(2x10^5) ?

The solution to (3x10^6)x(2x10^5) is 10^{11}*6x^3

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simplify (3x10^6)x(2x10^5)

simplify

(3 x 1 0^{6}) x (2 x 1 0^{5})

1 0^{11} \cdot 6 x^{3}

Solution steps

(3 x \cdot 1 0^{6}) x (2 x \cdot 1 0^{5})

Apply exponent rule:

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

1 0^{6} \cdot 1 0^{5} = 1 0^{6 + 5}

= 3 xx \cdot 2 x \cdot 1 0^{6 + 5}

Add the numbers:

6 + 5 = 11

= 3 xx \cdot 2 x \cdot 1 0^{11}

Apply exponent rule:

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

xxx = x^{1 + 1 + 1}

= 3 \cdot 2 x^{1 + 1 + 1} \cdot 1 0^{11}

Add the numbers:

1 + 1 + 1 = 3

= 3 \cdot 2 x^{3} \cdot 1 0^{11}

Multiply the numbers:

3 \cdot 2 = 6

= 1 0^{11} \cdot 6 x^{3}

5.67 x 1 0^{- 6}

- 2 e^{- 2 t} \cdot 4 e^{2 t}

- \frac{10}{5}

(4.3 x 1 0^{4}) x (3 x 1 0^{- 4})

400 e^{- 0.08664 (33)}