What is (3x10^9)*(2x10^{17}) ?

The solution to (3x10^9)*(2x10^{17}) is 10^{26}*6x^2

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simplify (3x10^9)*(2x10^{17})

simplify

(3 x 1 0^{9}) \cdot (2 x 1 0^{17})

1 0^{26} \cdot 6 x^{2}

Solution steps

(3 x \cdot 1 0^{9}) (2 x \cdot 1 0^{17})

Apply exponent rule:

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

1 0^{9} \cdot 1 0^{17} = 1 0^{9 + 17}

= 3 x \cdot 2 x \cdot 1 0^{9 + 17}

Add the numbers:

9 + 17 = 26

= 3 x \cdot 2 x \cdot 1 0^{26}

Apply exponent rule:

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

xx = x^{1 + 1}

= 3 \cdot 2 x^{1 + 1} \cdot 1 0^{26}

Add the numbers:

1 + 1 = 2

= 3 \cdot 2 x^{2} \cdot 1 0^{26}

Multiply the numbers:

3 \cdot 2 = 6

= 1 0^{26} \cdot 6 x^{2}

56 x^{3} y^{3}

7 k^{2} x^{2} (5 k x - 3)

e^{2} e^{4}

e^{2} e^{5}

What is (3x10^9)*(2x10^{17}) ?
The solution to (3x10^9)*(2x10^{17}) is 10^{26}*6x^2