Product and Quotient Rule for Exponents

Front

What is the Product Rule for Exponents?

Back

The Product Rule states that when multiplying two expressions with the same base, you add their exponents: a^m * a^n = a^(m+n).

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

Simplify: x^3 * x^4

Back

x^7

Front

Simplify: y^5 / y^2

Back

y^3

Front

What happens when you raise a power to a power?

Back

When raising a power to a power, you multiply the exponents: (a^m)^n = a^(m*n).

Front

Simplify: (x^2)^3

Back

x^6

Front

What is the result of x^0?

Back

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

Front

Simplify: x^5 * x^2 * x^3

Back

x^{10}.

Front

What is the result of dividing a number by itself?

Back

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

Front

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

Back

y^1 or y.