Exponents & Exponent Properties

Front

What is an exponent?

Back

An exponent is a number that indicates how many times to multiply the base by itself. For example, in x^3, 3 is the exponent.

Front

What is the product of powers property?

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 of powers property?

Back

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

Front

What is the power of a power property?

Back

When raising a power to another power, multiply the exponents. For example, (x^a)^b = x^(a*b).

Front

What is the power of a product property?

Back

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

Front

What is the power of a quotient property?

Back

When raising a quotient to a power, apply the exponent to both the numerator and the denominator. For example, (a/b)^n = a^n / b^n.

Front

Simplify: x^5 * x^3

Back

x^(5+3) = x^8.

Front

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

Back

12x^(2+3) = 12x^5.

Front

Write with positive exponents: x^(-3)

Back

1/x^3.

Front

Simplify: x^4 / x^2

Back

x^(4-2) = x^2.