Exponent Rules

Front

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

Back

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

Front

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

Back

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

Front

What is the value of (x^3)^4?

Back

x^12

Front

What is the value of (y^2)^3?

Back

y^6

Front

What is the value of 2^3 * 2^2?

Back

2^5

Front

What is the value of 5^0?

Back

1 (Any non-zero number raised to the power of 0 is 1)

Front

What is the value of x^-2?

Back

1/x^2 (Negative exponents indicate the reciprocal)

Front

What is the value of 10^4 / 10^2?

Back

10^2

Front

What is the value of (3^2)^3?

Back

3^6

Front

What is the value of 4^-1?

Back

1/4 (Negative exponent indicates the reciprocal)