How do you multiply $(2.05times10^8)times(3.2times10^14)$ ?

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Answer 1 · 2016-12-12T23:41:14

$6.56 xx 10^22$

First, we need to redistribute the terms:

$(2.05 xx 3.2) xx (10^8 xx 10^14)$

We can can just multiply the term on the left:

$6.56 xx (10^8 xx 10^14)$

The rule for multiplying like terms with exponents is:

$color(red)(x^a xx x^b = x^(a+b))$

Applying this to the term in parenthesis on the right gives:

$6.56 xx 10^(8+14)$

$6.56 xx 10^22$

How do you multiply (2.05times10^8)times(3.2times10^14)(2.05times10^8)times(3.2times10^14)?