Power, Product, and Quotient Rule

Front

What is the Power Rule in exponents?

Back

The Power Rule states that when raising a power to another power, you multiply the exponents. For example, (a^m)^n = a^(m*n).

Front

What is the Product Rule in exponents?

Back

The Product Rule states that when multiplying two powers with the same base, you add the exponents. For example, a^m * a^n = a^(m+n).

Front

What is the Quotient Rule in exponents?

Back

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

Front

Simplify: 2^3 * 2^4

Back

2^7

Front

Simplify: x^5 / x^2

Back

x^3

Front

What is a base in an exponential expression?

Back

The base is the number that is raised to a power. In the expression a^n, 'a' is the base.

Front

What is an exponent?

Back

An exponent indicates how many times the base is multiplied by itself. In a^n, 'n' is the exponent.

Front

Evaluate: 3^4

Back

81

Front

Evaluate: 5^0

Back

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

Front

True or False: (x^2)^3 = x^6

Back

True