What is (4.2x10^7)x(2.5x10^{10}) ?

The solution to (4.2x10^7)x(2.5x10^{10}) is 1.05E18x^3

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simplify (4.2x10^7)x(2.5x10^{10})

simplify

(4.2 x 1 0^{7}) x (2.5 x 1 0^{10})

1.05 E 18 x^{3}

Solution steps

(4.2 x \cdot 1 0^{7}) x (2.5 x \cdot 1 0^{10})

Apply exponent rule:

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

1 0^{7} \cdot 1 0^{10} = 1 0^{7 + 10}

= 4.2 xx \cdot 2.5 x \cdot 1 0^{7 + 10}

Add the numbers:

7 + 10 = 17

= 4.2 xx \cdot 2.5 x \cdot 1 0^{17}

Apply exponent rule:

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

xxx = x^{1 + 1 + 1}

= 4.2 \cdot 2.5 x^{1 + 1 + 1} \cdot 1 0^{17}

Add the numbers:

1 + 1 + 1 = 3

= 4.2 \cdot 2.5 x^{3} \cdot 1 0^{17}

Multiply the numbers:

4.2 \cdot 2.5 = 10.5

= 1 0^{17} \cdot 10.5 x^{3}

Convert element to a decimal form

1 0^{17} = 1.0 E 17

= 1.0 E 17 \cdot 10.5 x^{3}

Multiply the numbers:

10.5 \cdot 1.0 E 17 = 1.05 E 18

= 1.05 E 18 x^{3}

(1 0^{27}) (1.6 \cdot 1 0^{- 19})

e^{- \frac{1}{7} e^{t}}

\frac{1}{2} x e^{- 2 x}

What is (4.2x10^7)x(2.5x10^{10}) ?
The solution to (4.2x10^7)x(2.5x10^{10}) is 1.05E18x^3