Question

Choose an equivalent expression for 106 ÷ 104.
102
103
1010
1024

Answer 1

To simplify the expression \( 106 \div 104 \), we can rewrite it using exponents:

\[
106 \div 104 = \frac{10^6}{10^4}
\]

Using the property of exponents that states \( \frac{a^m}{a^n} = a^{m-n} \), we can simplify this:

\[
\frac{10^6}{10^4} = 10^{6-4} = 10^2
\]

Thus, the equivalent expression for \( 106 \div 104 \) is:

\[
10^2
\]

The answer is:

\[
102
\]