Laws of Exponents Review

Front

What is the product of powers property in exponents?

Back

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

Front

How do you simplify the expression x^4 * x^12?

Back

You add the exponents: x^(4+12) = x^16.

Front

What is the power of a power property in exponents?

Back

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

Front

How do you simplify the expression (2^8)^2?

Back

You multiply the exponents: 2^(8*2) = 2^16.

Front

What is the product of coefficients in multiplication of monomials?

Back

When multiplying monomials, multiply the coefficients and add the exponents of like bases.

Front

How do you simplify the expression 5r^2 * 6r?

Back

Multiply the coefficients (5*6) and add the exponents of r: 30r^(2+1) = 30r^3.

Front

What is the zero exponent rule?

Back

Any non-zero base raised to the power of zero equals one: 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: x^(-a) = 1/(x^a).

Front

How do you simplify the expression 4^3?

Back

4^3 is already simplified; it equals 64.

Front

What is the definition of a monomial?

Back

A monomial is a polynomial with only one term, which can be a number, a variable, or a product of numbers and variables.