Practice for Exponents

Front

What is the Quotient Rule for exponents?

Back

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

Front

Simplify: 2^5 / 2^2

Back

2^(5-2) = 2^3 = 8.

Front

What is the Product Rule for exponents?

Back

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

Front

Simplify: 3^4 * 3^2

Back

3^(4+2) = 3^6 = 729.

Front

What is (a^m)^n?

Back

According to the Power of a Power Rule, (a^m)^n = a^(m*n).

Front

Evaluate: (2^2)^3

Back

(2^2)^3 = 2^(2*3) = 2^6 = 64.

Front

What is the value of any non-zero number raised to the power of 0?

Back

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

Front

Evaluate: 50^0

Back

50^0 = 1.

Front

What does a negative exponent represent?

Back

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

Front

Write with positive exponents: a^-2

Back

a^-2 = 1/a^2.