Evaluate 10^-3

Problem

10(−3)

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(−3)=1/10

3. Calculate the value of the power in the denominator by multiplying the base by itself three times.

10=10×10×10=1000

4. Simplify the fraction into its decimal form by dividing 1 by 1000.

1/1000=0.001

Final Answer

10(−3)=0.001

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