Evaluate 10^-4

Problem

10(−4)

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

10(−4)=1/10

3. Calculate the power of 10 in the denominator by multiplying 10 by itself 4 times.

10=10000

4. Convert the fraction to a decimal by dividing 1 by 10,000.

1/10000=0.0001

Final Answer

10(−4)=0.0001

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