Which number below is equivalent to the product left-parenthesis 6 times 10 superscript 5 baseline right-parenthesis left-parenthesis 8 times 10 superscript 8 baseline right-parenthesis? (1 point)
4.8 times 10 superscript 14 baseline
4.8 times 10 superscript 12 baseline
4.8 times 10 superscript 41 baseline
4.8 times 10 superscript 39 baseline
The product of (6 x 10^5) and (8 x 10^8) can be found by multiplying their coefficients (6 x 8) and their powers of 10 (10^5 x 10^8). This gives us:
(6 x 10^5) x (8 x 10^8) = 48 x 10^13
We can write this in scientific notation as 4.8 x 10^14. Therefore, the correct answer is 4.8 x 10^14. Answer: \boxed{1}.
To find the product of two numbers in scientific notation, you can multiply the coefficients and add the exponents.
In this case, we have:
6 x 10^5 x 8 x 10^8
Multiplying the coefficients gives us:
6 x 8 = 48
Adding the exponents gives us:
10^5 + 10^8 = 10^(5+8) = 10^13
Therefore, the number equivalent to the given product is 4.8 x 10^13.
None of the options provided match the correct answer.