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

Front

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

Back

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

Front

Simplify: 2x^8 / 2x^3

Back

x^5.

Front

What happens to the base when you raise it to the power of zero?

Back

The base becomes 1, as long as the base is not zero.

Front

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

Back

x^2y.

Front

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

Back

5.

Front

Simplify: (-9)^0

Back

1.

Front

What is the result of (a^m / a^n) when m = n?

Back

1, because a^m / a^m = a^(m-m) = a^0 = 1.

Front

If a = 2, what is the value of a^0?

Back

1.

Front

Simplify: 4x^5 / 4x^5

Back

1.