Practicing Rules of Exponents with Monomials

Front

What is the Quotient Rule for Exponents?

Back

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

Front

Simplify: (x^5)(x^3)

Back

x^8

Front

What is the Product Rule for Exponents?

Back

When multiplying two powers with the same base, add the exponents: a^m * a^n = a^(m+n).

Front

Simplify: (2x^3)(3x^2)

Back

6x^5

Front

What is the Zero Exponent Rule?

Back

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

Front

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

Back

y^2

Front

What is the Power of a Power Rule?

Back

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

Front

Simplify: (a^2)^3

Back

a^6

Front

What is the Power of a Product Rule?

Back

When raising a product to a power, apply the exponent to each factor: (ab)^n = a^n * b^n.

Front

Simplify: (2x^2y)^3

Back

8x^6y^3