Product and Quotient Rules of Exponents

Front

What is the Product Rule of Exponents?

Back

When multiplying two powers with the same base, add the exponents. For example, x^a * x^b = x^(a+b).

Front

What is the Quotient Rule of Exponents?

Back

When dividing two powers with the same base, subtract the exponents. For example, x^a / x^b = x^(a-b).

Front

Simplify: x^5 * x^3

Back

x^8

Front

Simplify: y^4 * y^2

Back

y^6

Front

Simplify: x^10 / x^4

Back

x^6

Front

Simplify: a^7 / a^2

Back

a^5

Front

What happens when you multiply powers with different bases?

Back

You cannot combine them using the Product Rule; you must calculate each power separately.

Front

What is the result of x^0?

Back

x^0 = 1 for any non-zero x.

Front

What is the result of x^1?

Back

x^1 = x.

Front

If a^m * a^n = a^p, what is p in terms of m and n?

Back

p = m + n.