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SuperKids Math ReviewHow to Solve Exponents ProblemsExponents are a mathematical shorthand to describe serial, or repetitive multiplication of the same number, like 2 x 2 x 2, or 5 x 5 x 5 x 5 x 5. A number which is to be subjected to this repetitive multiplication, is called the base; the number of times it is to be multiplied by itself, is called the exponent. Multiplying a number in this way, is called "raising it to the nth power, where n = the exponent. Baseexponent Examples: 22 = 2 x 2 = 4 Special Cases - Exponents
Special Cases - Bases < 0 and parentheses
Problems involving order of operations are answered by first solving anything within parentheses, then dealing with exponents, then multiplication and division (working from left to right), and finally addition and subtraction. And if there are parentheses within parentheses, we work from the inside out. PEMDAS is the key to correctly evaluating exponents where the base is a negative number. Examples: (-3)2 = -3 x -3 = 9 |
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