How do you evaluate 3\cdot 10^ { 4} \cdot 5.3\times 10^ { - 23}3⋅104⋅5.3×10−23?

2 Answers
Taha Z.
Sep 16, 2017

15.9*10^-1915.9⋅10−19

Explanation:

3*10^4*5.3*10^-233⋅104⋅5.3⋅10−23

To evaluate, we gather the powers of 10 aside:
(3*5.3)*(10^4*10^-23)(3⋅5.3)⋅(104⋅10−23)
We do the power of 10's calculations alone using the formula:
a^x*a^y=a^(x+y)ax⋅ay=ax+y

We get:
(3*5.3)*10^(-23+4)(3⋅5.3)⋅10−23+4
15.9*10^-1915.9⋅10−19

Barney V.
Sep 16, 2017

10^-19*15.910−19⋅15.9

Explanation:

3*10^4*5.3*10^-243⋅104⋅5.3⋅10−24

:.=10^(4+(-24))*3*5.3

:.=10^-19*15.9

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