Question

Write 10 −9
as an equivalent fraction.(1 point)

Answer 1

To write \( 10^{-9} \) as an equivalent fraction, we first recognize that negative exponents indicate a reciprocal. Therefore:

\[
10^{-9} = \frac{1}{10^9}
\]

This means that \( 10^{-9} \) is equivalent to the fraction \( \frac{1}{10^9} \).

Since \( 10^9 = 1000000000 \), we can express this as:

\[
10^{-9} = \frac{1}{1000000000}
\]

Thus, the equivalent fraction is:

\[
\frac{1}{1000000000}
\]