Negative Exponents
Mathispower4u・1 minute read
Negative exponents are simplified by reciprocating the base and changing the sign of the exponent, while exponents are added when multiplying with the same base and subtracted when dividing with the same base to simplify expressions.
Insights
- A to the power of -n equals 1 over A to the power of +n, showcasing the reciprocal relationship between negative and positive exponents.
- Multiplying with the same base requires adding the exponents, while dividing with the same base entails subtracting the exponents, providing clear rules for simplification in exponent operations.
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Recent questions
How are negative exponents simplified?
Using basic exponent properties.
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Summary
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Simplifying Exponents with Basic Properties
- Negative exponents are simplified using basic exponent properties.
- A to the power of -n equals 1 over A to the power of +n.
- A to the -n power and A to the +n power are reciprocals.
- A to the -n divided by B to the -m equals B to the +m divided by A to the +n.
- Any base to an exponent is equal to the reciprocal of the base if raised to the opposite exponent.
- When multiplying with the same base, add the exponents to simplify.
- When dividing with the same base, subtract the exponents to simplify.
- Powers raised to powers are simplified by multiplying the exponents.
