Alg-Simplifying Exponents Review

Front

What is the rule for multiplying exponents with the same base?

Back

When multiplying exponents with the same base, add the exponents: a^m * a^n = a^(m+n).

Front

What is the rule for dividing exponents with the same base?

Back

When dividing exponents with the same base, subtract the exponents: a^m / a^n = a^(m-n).

Front

What is the value of any non-zero number raised to the power of zero?

Back

Any non-zero number raised to the power of zero is 1: a^0 = 1 (where a ≠ 0).

Front

What is the value of a negative exponent?

Back

A negative exponent indicates the reciprocal: a^(-n) = 1/(a^n).

Front

Back

1

Front

Back

Front

What is the product of two powers with the same base?

Back

When multiplying two powers with the same base, add the exponents: a^m * a^n = a^(m+n).

Front

What is the quotient of two powers with the same base?

Back

When dividing two powers with the same base, subtract the exponents: a^m / a^n = a^(m-n).

Front

Back

Front

What happens when you raise a power to another power?

Back

When raising a power to another power, multiply the exponents: (a^m)^n = a^(m*n).