division properties of exponents

Front

What is the Division Property of Exponents?

Back

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

Front

Simplify: x^5 / x^2

Back

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

Front

Simplify: y^10 / y^4

Back

y^(10-4) = y^6.

Front

What happens when you divide a number by itself?

Back

Any non-zero number divided by itself equals 1: a / a = 1.

Front

Simplify: x^7 / x^3

Back

x^(7-3) = x^4.

Front

What is the result of x^0?

Back

Any non-zero number raised to the power of 0 equals 1: x^0 = 1.

Front

Simplify: a^8 / a^5

Back

a^(8-5) = a^3.

Front

What is the quotient of x^m / x^n when m < n?

Back

x^(m-n) will result in a fraction: 1/x^(n-m).

Front

Simplify: z^12 / z^12

Back

z^(12-12) = z^0 = 1.

Front

What is the Division Property of Exponents for different bases?

Back

The Division Property applies only to the same base: a^m / b^n cannot be simplified using this property.