Question
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Tutor-Verified Answer
Answer
The simplified form is 4.
Solution
To simplify the expression, use the exponent division rule: a^m / a^n = a^(m − n).
Step 1: Subtract the exponents:
9 − 7 = 2
Step 2: Write the result:
2^2
Step 3: Evaluate if needed:
2^2 = 4
Thus, the simplified form is 4.
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Simplify this solution Mind Expander
To simplify \( \frac{2^{9}}{2^{7}} \), you can use the rule of exponents that states \( \frac{a^m}{a^n} = a^{m-n} \). By applying this rule, we get \( 2^{9-7} = 2^{2} \), which simplifies to \( 4 \). So, the answer is \( 4 \). It’s always fun to remember that in the world of exponents, subtracting the powers is like taking away cookies from a cookie jar—only the bigger number determines how many you ultimately have left!
