Write the result in scientific notation. Multiply
(8•10^3)(7•10^5)
A.5.6•10^16
B.5.6•10^9
C.1.5•10^16
D.1.5•10^9
Is the answer A or B?? because 8•7=56 and you put a decimal between the five and six but if I add the exponents I get Eight and if I multiply I get 15??
8 * 10 ^ 3 * 7 * 10 ^ 5 =
8 * 7 * 10 ^ 3 * 10 ^ 5 =
56 * 10 ^ 8 = 5.6 * 10 * 10 ^ 8 = 5.6 * 10 ^ 9
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Remark:
a ^ n * a ^ m = a ^ ( m + n )
10 ^ 3 * 10 ^ 5 = 10 ^ ( 3 + 5 ) = 10 ^ 8
10 = 10 ^ 1
10 * 10 ^ 8 = 10 ^ 1 * 10 ^ 8 = 10 ^ ( 1 + 8 ) = 10 ^ 9
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I don't understand what your meaning I still don't know what the answer is??
Answer B
Thank you.
To multiply numbers in scientific notation, you multiply the coefficients and add the exponents.
In this case, (8•10^3)(7•10^5) can be solved as follows:
Multiplying the coefficients:
8 • 7 = 56
Adding the exponents:
10^3 • 10^5 = 10^(3+5) = 10^8
So the result is 56 • 10^8. However, this is not in scientific notation yet.
Scientific notation requires the coefficient to be between 1 and 10, so we can rewrite 56 as 5.6 by moving the decimal one place to the left.
Therefore, the result in scientific notation is 5.6•10^8.
So, the correct answer is B. 5.6•10^8.