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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

2 Answers

1 vote

Answer:

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

User Kacper
by
7.7k points
4 votes
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.
User MichaelJCox
by
7.9k points
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