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LAWS OF EXPONENTS IN YOUR MATH NOTEBOOK SIMPLIFY THE EXPRESSIONS: 3 2 * 34 = 3 7 x *x = 3 3 (x ) = x0= TOUGHER SITUATIONS: Something like: 3x6 * 2x 3 TOUGHER SITUATIONS: Something like: 3x6 * 2x 3 Means each of the terms is being multiplied, like: TOUGHER SITUATIONS: Something like: 3x6 * 2x 3 Means each of the terms is being multiplied, like: 6 3 3*x *2*x TOUGHER SITUATIONS: Something like: 3x6 * 2x 3 Means each of the terms is being multiplied, like: 6 3 3*x *2*x TOUGHER SITUATIONS: Something like: Means each of the terms is being multiplied, like: 3x6 * 2x 3 6 3 3*x *2*x The multiplication property of equality says you can switch the order things are multiplied in. TOUGHER SITUATIONS: Something like: Means each of the terms is being multiplied, like: 3x6 * 2x 3 6 3 3*x *2*x The multiplication property of equality says you can switch the order things are multiplied in. 6 3 6 3 So, 3*x *2*x = 3*2*x *x TOUGHER SITUATIONS: Something like: Means each of the terms is being multiplied, like: 3x6 * 2x 3 6 3 3*x *2*x The multiplication property of equality says you can switch the order things are multiplied in. 6 3 6 3 So, 3*x *2*x = 3*2*x *x Now use the laws of exponents to simplify. TOUGHER SITUATIONS: Something like: Means each of the terms is being multiplied, like: 3x6 * 2x 3 6 3 3*x *2*x The multiplication property of equality says you can switch the order things are multiplied in. 6 3 6 3 So, 3*x *2*x = 3*2*x *x Now use the laws of exponents to simplify. Follow the same process with the following: 2 2 5 7 6 4x y z * 6x y z TOUGHER SITUATIONS: Negative Exponents: TOUGHER SITUATIONS: Negative Exponents: When a term is raised to a negative exponent, switch it from the numerator to the denominator, or from the denominator to the numerator. TOUGHER SITUATIONS: Negative Exponents: When a term is raised to a negative exponent, switch it from the numerator to the denominator, or from the denominator to the numerator. -2 3 TOUGHER SITUATIONS: Negative Exponents: When a term is raised to a negative exponent, switch it from the numerator to the denominator, or from the denominator to the numerator. -2 3 =1 32 TOUGHER SITUATIONS: Negative Exponents: When a term is raised to a negative exponent, switch it from the numerator to the denominator, or from the denominator to the numerator. -2 3 =1 32 x -2 = y4 y -4 x2 TOUGHER SITUATIONS: Negative Exponents: When a term is raised to a negative exponent, switch it from the numerator to the denominator, or from the denominator to the numerator. -2 3 =1 32 x -2 = y4 y -4 x2 2 1.=x x -2 TOUGHER SITUATIONS: Simplify your numbers as much as possible. TOUGHER SITUATIONS: Simplify your numbers as much as possible. x. = x. 2 3 8 TOUGHER SITUATIONS: The area of a rectangle is 144a8b4 square units. If the width of the rectangle is 8a2b2 units, what is the length? TOUGHER SITUATIONS: The area of a rectangle is 144a8b4 square units. If the width of the rectangle is 8a2b2 units, what is the length? Area = length times width TOUGHER SITUATIONS: The area of a rectangle is 144a8b4 square units. If the width of the rectangle is 8a2b2 units, what is the length? Area = length times width Put in the information you know. TOUGHER SITUATIONS: The area of a rectangle is 144a8b4 square units. If the width of the rectangle is 8a2b2 units, what is the length? Area = length times width Put in the information you know. 144a8b4 = length times 8a2b2 TOUGHER SITUATIONS: The area of a rectangle is 144a8b4 square units. If the width of the rectangle is 8a2b2 units, what is the length? Area = length times width Put in the information you know. 144a8b4 = length times 8a2b2 or 144a8b4 = l * 8a2b2 TOUGHER SITUATIONS: The area of a rectangle is 144a8b4 square units. If the width of the rectangle is 8a2b2 units, what is the length? Area = length times width Put in the information you know. 144a8b4 = length times 8a2b2 or 144a8b4 = l * 8a2b2 Divide to get the variable by itself. TOUGHER SITUATIONS: The area of a rectangle is 144a8b4 square units. If the width of the rectangle is 8a2b2 units, what is the length? Area = length times width Put in the information you know. 144a8b4 = length times 8a2b2 or 144a8b4 = l * 8a2b2 Divide to get the variable by itself. 144a8b4 = l 8a2b2 TOUGHER SITUATIONS: The area of a rectangle is 144a8b4 square units. If the width of the rectangle is 8a2b2 units, what is the length? Area = length times width Put in the information you know. 144a8b4 = length times 8a2b2 or 144a8b4 = l * 8a2b2 Divide to get the variable by itself. 144a8b4 = l 8a2b2 Use the laws of exponents to simplify.