Laws of Exponents: Products and Quotients

Front

What is the Quotient Rule for exponents?

Back

The Quotient Rule states that when dividing powers with the same base, you subtract the exponents: a^m ÷ a^n = a^(m-n).

Front

Evaluate the expression using the Quotient Rule: 6^30 ÷ 6^8

Back

6^22.

Front

When multiplying powers with the same base, what do you do with the exponents?

Back

You add the exponents: a^m × a^n = a^(m+n).

Front

True or False: x^0 = 1 for any non-zero x.

Back

True.

Front

What happens when you raise a power to another power?

Back

You multiply the exponents: (a^m)^n = a^(m*n).

Front

Simplify the expression: x^10 ÷ x^2

Back

x^8.

Front

True or False: The expression 5^0 equals 0.

Back

False; 5^0 equals 1.

Front

What is the result of 2^3 × 2^2?

Back

2^5.

Front

If a^m ÷ a^m = ?

Back

1, as long as a is not zero.

Front

What is the value of 7^0?

Back

1.