Question
The quotient of 8.4 times 10 Superscript 9 and a number n results in 5.6 times 10 Superscript 27. What is the value of n?
1.5 times 10 Superscript negative 18
1.5 times 10 Superscript negative 3
1.5 times 10 Superscript 3
1.5 times 10 Superscript 18
1.5 times 10 Superscript negative 18
1.5 times 10 Superscript negative 3
1.5 times 10 Superscript 3
1.5 times 10 Superscript 18
Answers
GPT-4o mini
To find the value of \( n \) given the equation
\[
\frac{8.4 \times 10^9}{n} = 5.6 \times 10^{27},
\]
we can start by rearranging the equation to solve for \( n \):
\[
n = \frac{8.4 \times 10^9}{5.6 \times 10^{27}}.
\]
Now, we can simplify this expression. We will first simplify the numerical coefficients and then simplify the powers of 10:
1. Calculate the numerical coefficient:
\[
\frac{8.4}{5.6} = 1.5.
\]
2. Now, simplify the powers of 10:
\[
\frac{10^9}{10^{27}} = 10^{9 - 27} = 10^{-18}.
\]
Putting both parts together, we have:
\[
n = 1.5 \times 10^{-18}.
\]
Thus, the value of \( n \) is
\[
\boxed{1.5 \times 10^{-18}}.
\]
\[
\frac{8.4 \times 10^9}{n} = 5.6 \times 10^{27},
\]
we can start by rearranging the equation to solve for \( n \):
\[
n = \frac{8.4 \times 10^9}{5.6 \times 10^{27}}.
\]
Now, we can simplify this expression. We will first simplify the numerical coefficients and then simplify the powers of 10:
1. Calculate the numerical coefficient:
\[
\frac{8.4}{5.6} = 1.5.
\]
2. Now, simplify the powers of 10:
\[
\frac{10^9}{10^{27}} = 10^{9 - 27} = 10^{-18}.
\]
Putting both parts together, we have:
\[
n = 1.5 \times 10^{-18}.
\]
Thus, the value of \( n \) is
\[
\boxed{1.5 \times 10^{-18}}.
\]