Col Prep ZAP NW2.2 #1: 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 2^3, 2 is the base and 3 is the exponent, meaning 2 * 2 * 2.

Front

What is the product of powers property?

Back

The product of powers property states that when multiplying two expressions with the same base, you can add the exponents. For example, a^m * a^n = a^(m+n).

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, (a^m)^n = a^(m*n).

Front

What is the power of a product property?

Back

The power of a product property states that when raising a product to a power, you can distribute the exponent to each factor. For example, (ab)^n = a^n * b^n.

Front

What is the zero exponent rule?

Back

The zero exponent rule states that any non-zero base raised to the power of zero equals one. For example, a^0 = 1 (where a ≠ 0).

Front

What is the negative exponent rule?

Back

The negative exponent rule states that a negative exponent indicates the reciprocal of the base raised to the opposite positive exponent. For example, a^(-n) = 1/(a^n) (where a ≠ 0).

Front

Simplify: (2xy)^5 * 2x^2y

Back

64x^7y^6

Front

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

Back

125x^6y^6

Front

Simplify: (7a^2)(5a^6b)^2

Back

175a^14b^2

Front

What is the value of (5x^2)^0?

Back

1 (since any non-zero number raised to the power of zero is 1).