Question

The product of 1.3 times 10 Superscript negative 4 and a number n results in 2.6 times 10 Superscript 12. What is the value of n?
2 times 10 Superscript negative 8
2 times 10 Superscript negative 3
2 times 10 Superscript 16
2 times 10 Superscript 48

Answer 1

To find the value of \( n \), we start with the given equation:

\[
(1.3 \times 10^{-4}) \times n = 2.6 \times 10^{12}
\]

To isolate \( n \), we divide both sides of the equation by \( 1.3 \times 10^{-4} \):

\[
n = \frac{2.6 \times 10^{12}}{1.3 \times 10^{-4}}
\]

Now, we can simplify this expression. First, let's simplify the coefficients:

\[
\frac{2.6}{1.3} = 2
\]

Next, we simplify the powers of 10:

\[
\frac{10^{12}}{10^{-4}} = 10^{12 - (-4)} = 10^{12 + 4} = 10^{16}
\]

Now we combine the two parts:

\[
n = 2 \times 10^{16}
\]

Thus, the value of \( n \) is

\[
\boxed{2 \times 10^{16}}
\]