Evaluate 10^-6

Problem

10(−6)

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(−6)=1/10

3. Calculate the value of the power in the denominator by writing 1 followed by 6 zeros.

10=1,000,000

4. Convert the fraction to a decimal by moving the decimal point 6 places to the left.

1/(1,000,000)=0.000001

Final Answer

10(−6)=0.000001

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