Quotient Property of Exponents

Front

What is the Quotient Property of Exponents?

Back

When dividing two expressions with the same base, subtract the exponent of the denominator from the exponent of the numerator.

Front

Simplify: x^5 / x^2

Back

x^(5-2) = x^3

Front

Simplify: 10^3 / 10^1

Back

10^(3-1) = 10^2

Front

What happens to the base when using the Quotient Property?

Back

The base remains the same.

Front

If a^m / a^n = a^(m-n), what does 'm' represent?

Back

The exponent of the numerator.

Front

If a^m / a^n = a^(m-n), what does 'n' represent?

Back

The exponent of the denominator.

Front

Simplify: 2^4 / 2^2

Back

2^(4-2) = 2^2 = 4

Front

What is the result of x^0?

Back

1, for any non-zero x.

Front

Simplify: 5x^3 / 5x^1

Back

x^(3-1) = x^2.

Front

What is the value of 10^5 / 10^5?

Back

10^(5-5) = 10^0 = 1.