What is (1.23e^3)*(6.4e^2) ?

The solution to (1.23e^3)*(6.4e^2) is 1168.30838…

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simplify (1.23e^3)*(6.4e^2)

simplify

(1.23 e^{3}) \cdot (6.4 e^{2})

1168.30838 \dots

Solution steps

(1.23 e^{3}) (6.4 e^{2})

Apply exponent rule:

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

e^{3} e^{2} = e^{3 + 2}

= 1.23 \cdot 6.4 e^{3 + 2}

Add the numbers:

3 + 2 = 5

= 1.23 \cdot 6.4 e^{5}

Multiply the numbers:

1.23 \cdot 6.4 = 7.872

= 7.872 e^{5}

Convert element to a decimal form

e^{5} = 148.41315 \dots

= 7.872 \cdot 148.41315 \dots

Multiply the numbers:

7.872 \cdot 148.41315 \dots = 1168.30838 \dots

= 1168.30838 \dots

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