Exponents

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, x is the base and 3 is the exponent.

Front

What is the product of powers property?

Back

When multiplying two powers with the same base, you add 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, (xy)^a = x^a * y^a.

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 (where x ≠ 0).

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^(-a) = 1/(x^a).

Front

Simplify: x^4 * x^2

Back

x^6

Front

Simplify: x^5 / x^2

Back

x^3

Front

Simplify: (xy)^2

Back

x^2y^2

Front

Simplify: (x^3)^2

Back

x^6