Question

Multiply (4.7 x 10^4) by (6.4 x 10^15). Express your answer in scientific notation.

A) 3.008 x 10^20
 B)3.008 x 10^60
 C) 3.008 x 10^61
 D) 30.08 x 10^19

Answer 1

Steps to solve:

(4.7 x 10^4)(6.4 x 10^15)

~Combine like terms

(4.7 x 6.4)(10^4 x 10^15)

~Simplify

30.08 x 10^4+15

~Simplify

30.08 x 10^19

~Divide by 10 to get a number less then 10

30.08/10 x 10^19

~Simplify

3.008 x 10^20

Therefore, the answer is A) 3.008 x 10^20

Best of Luck!

Answer 2

4.7 x 10^4= 47,000
6.4 x 10^15= 6,400,000,000,000,000
(yay) 47, 000 x 6,400,000,000,000,000 = 256,000,000,000,000,000,000 + 44,800,000,000,000,000,000 = 3,00,800,000,000,000,000,000 = 3.008 x 10^20
Hope this helped!