Exponents Rules

Front

What is the Product of Powers Rule?

Back

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

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

What is the Quotient of Powers Rule?

Back

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

Front

Simplify: (x^3)^4

Back

x^(3*4) = x^12.

Front

Simplify: (2a^2)(3a^5)

Back

6a^(2+5) = 6a^7.

Front

Simplify: (5x^4)(2x^3)

Back

10x^(4+3) = 10x^7.

Front

Simplify: (y^5)/(y^2)

Back

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

Front

Evaluate: (3x^2)^3

Back

27x^(2*3) = 27x^6.

Front

What happens when you raise a product to a power?

Back

(ab)^n = a^n * b^n.

Front

What happens when you raise a quotient to a power?

Back

(a/b)^n = a^n / b^n.