Laws of Exponents

Match the power with the expanded notation. The key ^ means "raised to the power" since this program does not allow you to write exponents in all of its areas. So if you need to write "3 to the second power"you can write it using the ^ key like this: 3^2. The*symbol stands for multiply. (4y)^3 4y*4y*4y 4y^3 4y*y*y -4y^3 -4y*y*y (-4y)^3 -4y*-4y*-4y -z * -z * -z * -z * -z -z^5 z^5 (-z)^5 5^-z 4a * a * a * 5 * y * y * y * y * 2 * z 40a3 *y4*2z 40a2 *y2*2z 40a3y4z 4a5y2z -2 * 2 * 2 * x * x* x* x * x *y * y * y 2x4y3 -2x5y3 8x5y3 -8x5y3 Use the word bank to complete the following text. Be sure to spell words correctly. The Product Rule states that if monomials have the same term, you can add the exponents. The Power Rule allows you to multiply the exponents in order to simplify. When using the Quotient Rule, you need to subtract the exponents. The Zero Rule says anything to the zero power always equals one. Simplify: (-2.5y5)0 (2a3b2)3 6a6b5 8a9b6 6a9b6 2ab 4x3 y2 * 3xy2 12xy 12x4y4 12x2y3 4x3y Match the Expression Match the expression to its simplified answer. Remember the ^ key means raised to the power of. 5y^3 * 4y^2 20y^6 3y^3 * 3y^2 9y^5 (2xy)^3 8x^3y^3 10y^8 / 5y^2 2y^6 y9 / y3 y3 y6 y12 y4 (a5d3) / (a2 d3) a3 d2 a3 d a7 d 6 a3 6y3z0 0 6y 6y3 1 Fill in the blanks with the correct word from the word bank. 43 is a power. 4 is the base and 3 is the exponent. The exponent tells how many times the base should be multiplied by itself. (2m3n4)3 6m6n7 8m6n7 8m9n12 8mn x7 / x3 x4 x3 x10 x Simplify each problem and write your response. 3y2z-3 Simplify and write your response below. (5x)-4 Write your answer below. (5x23y15)0