Question
8th gradepower rules of exponents quick check
Answers
Answered by
GPT 3.5
The power rules of exponents include the following:
1. Product of powers: When multiplying two powers with the same base, you add the exponents. For example, a^m * a^n = a^(m+n).
2. Power of a power: When raising a power to another exponent, you multiply the exponents. For example, (a^m)^n = a^(m*n).
3. Power of a product: When raising a product to an exponent, you distribute the exponent to each term. For example, (ab)^n = a^n * b^n.
4. Quotient of powers: When dividing two powers with the same base, you subtract the exponents. For example, a^m / a^n = a^(m-n).
5. Negative exponent: If a number or variable has a negative exponent, you can rewrite it by taking the reciprocal and changing the sign of the exponent. For example, a^(-n) = 1 / a^n.
These power rules help simplify expressions with exponents and make calculations easier.
1. Product of powers: When multiplying two powers with the same base, you add the exponents. For example, a^m * a^n = a^(m+n).
2. Power of a power: When raising a power to another exponent, you multiply the exponents. For example, (a^m)^n = a^(m*n).
3. Power of a product: When raising a product to an exponent, you distribute the exponent to each term. For example, (ab)^n = a^n * b^n.
4. Quotient of powers: When dividing two powers with the same base, you subtract the exponents. For example, a^m / a^n = a^(m-n).
5. Negative exponent: If a number or variable has a negative exponent, you can rewrite it by taking the reciprocal and changing the sign of the exponent. For example, a^(-n) = 1 / a^n.
These power rules help simplify expressions with exponents and make calculations easier.