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 4², the exponent is 2, meaning 4 is multiplied by itself 2 times (4 * 4).

Front

What is the base in the expression 5³?

Back

The base is 5. It is the number that is being multiplied by itself.

Front

Simplify: (3x²)(4x³)

Back

12x⁵

Front

What is the product of powers property?

Back

The product of powers property states that when multiplying two powers with the same base, you add the exponents. For example, a² * a³ = a^(2+3) = a⁵.

Front

Simplify: x⁴ / x²

Back

x²

Front

What is the power of a power property?

Back

The power of a power property states that when raising a power to another power, you multiply the exponents. For example, (a²)³ = a^(2*3) = a⁶.

Front

Rewrite using a positive exponent: 3y⁻²

Back

3/y²

Front

What is the zero exponent rule?

Back

Any non-zero number raised to the power of zero equals one. For example, a⁰ = 1.

Front

Simplify: (2a³)(3a⁴)

Back

6a⁷

Front

What is the quotient of powers property?

Back

The quotient of powers property states that when dividing two powers with the same base, you subtract the exponents. For example, a⁵ / a² = a^(5-2) = a³.