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

Answer:

7.13*10^7

Step-by-step 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.
$7.13 \times {10}^{ 7}$


EXPLANATION


The expression given to us is,

$(2.3 \times {10}^{ - 5} )(3.1 \times {10}^{12} )$

We have to do the multiplication in standard form



$(2.3 \times {10}^{ - 5} )(3.1 \times {10}^{12} ) = 2.3 \times 3.1 \times {10}^{ - 5} \times {10}^{12}$


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



$(2.3 \times {10}^{ - 5} )(3.1 \times {10}^{12} ) = 7.13 \times {10}^{ - 5 + 12}$


We simplify to get,


$(2.3 \times {10}^{ - 5} )(3.1 \times {10}^{12} ) = 7.13 \times {10}^{ 7}$


Therefore the correct answer is A.