Question

Divide. Write your quotient in scientific notation. (1.5×107)÷(3×103) (1 point) Responses 0.5×104 0 point 5 times 10 to the 4th power 2×104 2 times 10 to the 4th power 5×103 5 times 10 cubed 5×109

Answer 1

To divide \( (1.5 \times 10^7) \) by \( (3 \times 10^3) \), you can follow these steps:

1. Divide the coefficients: \( \frac{1.5}{3} = 0.5 \)
2. Subtract the exponents (using the rule \( a^m / a^n = a^{m-n} \)):
\[
10^7 / 10^3 = 10^{7-3} = 10^4
\]

Now combine the results:
\[
(1.5 \times 10^7) / (3 \times 10^3) = 0.5 \times 10^4
\]

In scientific notation, \( 0.5 \) can be written as \( 5 \times 10^{-1} \). Therefore:
\[
0.5 \times 10^4 = 5 \times 10^{-1} \times 10^4 = 5 \times 10^{4-1} = 5 \times 10^3
\]

So the final result in scientific notation is:
\[
\boxed{5 \times 10^3}
\]