Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download File
Transcript
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.
