Question
Simplify to a single power of 2 : \[ \frac{2^{7}}{2^{5}} \]
Ask by Nichols Dickson. in the United States
Mar 11,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The simplified expression is \( 2^2 \).
Solution
1. Start with the expression:
\[
\frac{2^{7}}{2^{5}}
\]
2. Use the law of exponents for division:
\[
\frac{2^{7}}{2^{5}} = 2^{7-5}
\]
3. Simplify the exponent:
\[
2^{7-5} = 2^{2}
\]
Thus, the simplified expression is \( 2^2 \).
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Simplify this solution Bonus Knowledge
When simplifying a fraction with the same base, you subtract the exponents. So, for \( \frac{2^{7}}{2^{5}} \), you calculate it as follows: \[ 2^{7 - 5} = 2^{2} \] Thus, the simplified expression is \( 2^{2} \).
