Evaluate 10^-5

Problem

10(−5)

Solution

1. Identify the negative exponent rule, which states that a(−n)=1/(an)

2. Apply the rule to the expression by moving the base to the denominator and changing the sign of the exponent.

10(−5)=1/10

3. Calculate the value of the power in the denominator by multiplying 10 by itself 5 times.

10=100,000

4. Convert the fraction to a decimal by placing the digit 1 in the fifth decimal place.

1/(100,000)=0.00001

Final Answer

10(−5)=0.00001

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