Evaluate 2^-5

Problem

2(−5)

Solution

1. Identify the negative exponent rule, which states that a(−n)=1/(an) for any non-zero base a

2. Apply the rule to rewrite the expression as a fraction with a positive exponent.

2(−5)=1/2

3. Calculate the value of the denominator by multiplying the base 2 by itself 5 times.

2×2×2×2×2=32

4. Substitute the calculated value back into the fraction.

1/2=1/32

Final Answer

2(−5)=1/32

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