Exponent Rules (SImple Laws of Exponents)

Front

What is the result of a⁵ * a³?

Back

a⁸ (Add the exponents when multiplying terms with the same base.)

Front

What is the result of a⁷ / a²?

Back

a⁵ (Subtract the exponents when dividing terms with the same base.)

Front

What does a^-n represent?

Back

1/aⁿ (A negative exponent indicates the reciprocal of the base raised to the positive exponent.)

Front

What is the product of a^m and aⁿ?

Back

a^m+n (When multiplying, add the exponents.)

Front

What is the quotient of a^m and aⁿ?

Back

a^m-n (When dividing, subtract the exponents.)

Front

What is the value of (a²)³?

Back

a⁶ (When raising a power to a power, multiply the exponents.)

Front

What is the result of a⁰?

Back

1 (Any non-zero base raised to the power of zero is equal to one.)

Front

How do you express 1/a³ using a negative exponent?

Back

a^-3 (A negative exponent indicates the reciprocal.)

Front

What is the result of (ab)ⁿ?

Back

aⁿbⁿ (Distributing the exponent to each factor.)

Front

What is the result of a³ * b³?

Back

(ab)³ (When multiplying different bases with the same exponent, you can combine them.)