How do you simplify (3.8⋅10−5)(2.8⋅10−5) in scientific notation?

1 Answer
smendyka
Apr 11, 2018

See a solution process below:

Explanation:

First, rewrite this expression as:

3.8⋅10−5⋅2.8⋅10−5⇒

3.8⋅2.8⋅10−5⋅10−5⇒

10.64⋅10−5⋅10−5

Next, we can use this rule of exponents to multiply the 10s terms:

xa×xb=xa+b

10.64⋅10−5⋅10−5⇒

10.64⋅10−5+(−5)⇒

10.64⋅10−5−5⇒

10.64⋅10−10

To put this expression into scientific notation we need to move the decimal point 1 place to the left therefore we need to add 1 to the 10s exponent:

10.64⋅10−10⇒

1.064⋅10−10+1⇒

1.064⋅10−9

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