Laws of Exponents

Front

What is the Law of Exponents for multiplying terms with the same base?

Back

When multiplying terms with the same base, you add the exponents.

Front

What is the Law of Exponents for dividing terms with the same base?

Back

When dividing terms with the same base, you subtract the exponents.

Front

Expand x^3.

Back

x ⋅ x ⋅ x

Front

Rewrite 1/12^4 using a negative exponent.

Back

12^-4

Front

What is the value of x^0 for any non-zero x?

Back

1

Front

What does a negative exponent indicate?

Back

A negative exponent indicates the reciprocal of the base raised to the opposite positive exponent.

Front

What is the result of (x^a) * (x^b)?

Back

x^(a+b)

Front

What is the result of (x^a) / (x^b)?

Back

x^(a-b)

Front

What is the value of 2^3?

Back

8

Front

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

Back

3^(2*3) = 3^6 = 729