How do you multiply $(6.410^4)(8.610^8)$ ?

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Answer 1 · 2015-04-02T12:03:34

Multiply the numbers and add the $10$ powers:

$(6.4*10^4)(8.6*10^8)=(6.4*8.6)*10^(4+8)$

$=55*10^12=5.5*10^13$

(decimal point one to the left = power up by one)

Answer 2 · 2015-04-02T12:17:28

The answer is $5.5xx10^13$ .

First, multiply the coefficients and add the exponents.

$(6.4xx10^4)(8.6xx10^8)=(6.4)(8.6)xx10^((4+8))=55xx10^12$

Second, move the decimal to the left one place and increase the exponent by one so that the answer is in the correct scientific notation format.

$55xx10^12=5.5xx10^13$

How do you multiply (6.4*10^4)(8.6*10^8)(6.4*10^4)(8.6*10^8)?