Exponent Properties

Front

What is the product of powers property?

Back

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

Front

What is the quotient of powers property?

Back

When dividing powers with the same base, you 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, you 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, you distribute 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, you distribute the exponent to the numerator and denominator. For example, (a/b)^n = a^n / b^n.

Front

What does it mean to simplify an expression with exponents?

Back

To simplify an expression with exponents means to rewrite it in a simpler form, often using only positive exponents.

Front

What is the zero exponent rule?

Back

Any non-zero base raised to the power of zero equals one. For example, x^0 = 1.

Front

What is the negative exponent rule?

Back

A negative exponent indicates the reciprocal of the base raised to the opposite positive exponent. For example, x^(-n) = 1/x^n.

Front

Simplify: x^5 * x^3

Back

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

Front

Simplify: x^7 / x^2

Back

x^(7-2) = x^5.