5.4 Division Properties of Exponents

Front

What is the Quotient Rule for exponents?

Back

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

Front

Evaluate: x^13 / x^8

Back

x^5

Front

Simplify: 10x^3 / 5x^2

Back

2x

Front

What happens to exponents when multiplying two expressions with the same base?

Back

Add the exponents: a^m * a^n = a^(m+n).

Front

Evaluate: (x^4)^3

Back

x^{12} (multiply the exponents).

Front

What is the Zero Exponent Rule?

Back

Any non-zero base raised to the power of zero equals one: a^0 = 1.

Front

Evaluate: x^5 / x^5

Back

1 (any non-zero number divided by itself equals one).

Front

What is the Negative Exponent Rule?

Back

A negative exponent indicates the reciprocal: a^(-n) = 1/a^n.

Front

Simplify: x^10 / x^2

Back

x^8 (subtract the exponents).

Front

Evaluate: (2x^3)^2

Back

4x^6 (multiply the exponent by the coefficient).