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ALGEBRA - Working with Exponents
Practice your skills in working with exponents. Remember that the carrot symbol (^) means "raise to the power", in the same way that it works on your graphing calculator.
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| A | B |
| x•x | x³ |
| (x^3)•(x^4) | x^7 |
| (x^m)^n | x^(m•n) |
| x^0 | 1 |
| (x^m)•(x^n) | x^(m+n) |
| 5^3 | 5•5•5 |
| (x^n)/(x^m) | x^(n-m) |
| (ab)^n | (a^m)•(b^m) |
| x^1 | x |
| (2x)^3 | (2^3)•(x^3) = 8x^3 |
| (x/y)^n | (x^n)/(y^n) |
| x^(-1) | 1/x |
| x^(-n) | 1/(x^n) |
| (1/4)^3 | (1^3)/(4^3) = 1/64 |
| 4^(-2) | 1/16 |
| (a+b)² | a² + 2ab + b² |
| (a-b)² | a² - 2ab + b² |
| 5² | 25 |
| 3² • 4² | 12² |
| 1^12 • 11^2 | 121 |
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