Exponent Rules 4 - Quotient and Zero Exponent Rules Continue

Front

What is the Quotient Rule for exponents?

Back

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

Front

What is the Zero Exponent Rule?

Back

The Zero Exponent Rule states that any non-zero base raised to the power of zero is equal to one: a^0 = 1 (where a ≠ 0).

Front

Simplify: x^5 / x^2

Back

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

Front

Simplify: 3^4 / 3^2

Back

3^(4-2) = 3^2 = 9.

Front

What happens when you have a base raised to the zero power?

Back

Any non-zero base raised to the zero power equals one.

Front

Simplify: (2x^3y^2) / (2xy)

Back

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

Front

What is the result of (7a^3b^2)^0?

Back

1 (since any non-zero expression raised to the zero power is 1).

Front

Simplify: (x^4y^3) / (x^2y^2)

Back

x^(4-2)y^(3-2) = x^2y.

Front

If a^0 = 1, what is the value of (-9)^0?

Back

1 (since any non-zero number raised to the zero power is 1).

Front

What is the result of 5(x^2y^4)^0?

Back

5 (since (x^2y^4)^0 = 1, so 5 * 1 = 5).