Exponent Properties

Front

What is the Quotient Rule for exponents?

Back

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

Front

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

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

Evaluate: a^5 / a^2

Back

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

Front

True or False: (xy)^n = x^n * y^n.

Back

True.

Front

What is the Product Rule for exponents?

Back

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

Front

Evaluate: (3^2)^4

Back

3^(2*4) = 3^8.

Front

What is the value of 2^3 * 2^2?

Back

2^(3+2) = 2^5 = 32.

Front

True or False: a^m * a^n = a^(m-n).

Back

False. It should be a^(m+n).

Front

Evaluate: 5^3 / 5^1

Back

5^(3-1) = 5^2 = 25.