Question

Multiply (2.3 × 10–5)(3.1 × 1012) A. 7.13 × 107 B. 7.13 × 10–60 C. 5.4 × 107 D. 5.4 × 108

Answer 1

7.13*10^7

Explanation:

2.3 * 10^-5 * 3.1 * 10^12

We multiply the numbers out front and then add the powers of 10

2.3 * 3.1 * 10^(-5+12)

7.13 * 10^7

Answer 2

ANSWER

A.

`7.13 * {10}^( 7)`


EXPLANATION


The expression given to us is,


`(2.3 * {10}^( - 5) )(3.1 * {10}^(12) )`

We have to do the multiplication in standard form




`(2.3 * {10}^( - 5) )(3.1 * {10}^(12) ) = 2.3 * 3.1 * {10}^( - 5) * {10}^(12)`


We now multiply the first two numbers and simplify the last two index numbers using the laws of exponents to obtain,




`(2.3 * {10}^( - 5) )(3.1 * {10}^(12) ) = 7.13 * {10}^( - 5 + 12)`


We simplify to get,



`(2.3 * {10}^( - 5) )(3.1 * {10}^(12) ) = 7.13 * {10}^( 7)`


Therefore the correct answer is A.