Evaluate 10^-7

Problem

10(−7)

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(−7)=1/10

3. Calculate the value of the denominator by writing 1 followed by 7 zeros.

10=10,000,000

4. Convert the fraction to decimal form by moving the decimal point 7 places to the left.

1/(10,000,000)=0.0000001

Final Answer

10(−7)=0.0000001

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