5.4 Division Properties of Exponents

Front

What happens to the exponents when we multiply expressions with the same base?

Back

We add the exponents.

Front

Simplify: x^4 / 3

Back

x^4 / 3

Front

What happens to the exponents when we raise a power to a power?

Back

We multiply the exponents.

Front

Simplify: 75x^6 / 25x^4

Back

3x^2

Front

What happens to the exponents when we divide expressions with the same base?

Back

We subtract the exponents.

Front

Define exponent.

Back

An exponent is a number that indicates how many times to multiply the base by itself.

Front

What is the base in the expression 2^5?

Back

The base is 2.

Front

Simplify: (x^3)^4

Back

x^{12} (multiply the exponents)

Front

What is the result of x^5 * x^2?

Back

x^7 (add the exponents)

Front

Simplify: x^10 / x^4

Back

x^6 (subtract the exponents)