Exponents Product/Quotient Rule

Front

What is the Exponent Product Rule?

Back

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

Front

What is the Exponent Quotient Rule?

Back

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

Front

True or False: The Exponent Product Rule states that you subtract the exponents when multiplying powers with the same base.

Back

False

Front

According to exponent rules, when we divide powers, we _______ the exponents.

Back

subtract

Front

What is the expanded form of 5^3?

Back

5 x 5 x 5

Front

Simplify the expression: 6^30 / 6^8.

Back

6^22

Front

Evaluate this expression using the quotient rule: 9^9 / 9^4.

Back

9^5

Front

What does a negative exponent represent?

Back

A negative exponent indicates the reciprocal of the base raised to the opposite positive exponent. For example, a^-n = 1/a^n.

Front

What is the value of 2^0?

Back

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

Front

If a^3 = 27, what is the value of a?

Back

3 (Since 3^3 = 27.)