How Do You Solve Algebraic Problems With Exponents?
• First, look at a sheet of problems with exponents mixed in. Calm yourself, and think clearly. • If there are no variables, simply follow order of operations: PEMDAS: Parentheses, Exponents, Multiplying, Dividing, Adding, Subtracting • In example: 4(2² + 7) = 4(4 + 7) = 4(11) = 44 • If the problem has variables, then you do the exact same thing you did with the first problem, except you can only had like terms, which means that the power of the variables and the variables, themselves, have to be the same when adding two terms. • In example: x(8x² + 7xy) + 3(2x²y + 7yz) = 8x³ + 7x²y + 6x²y + 21yz = 8x³ + 13x²y + 21yz • The problem gets exponentially harder, once the exponents have have variables. If the exponents have variables, then a set of laws have to be followed: • x^(a+b) = x^a•x^b • x^(a-b) = x^a/x^b • (xy)^a = x^a•y^a • (x^a)^b = x^(a•b) • x^(a/b) = bth root of x to the a power = b√(x)^a • There is another law that has to be learned, and that is when you are dealing with variab
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