Exponents and Roots
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12 terms
Terms | Definitions |
|---|---|
 Adding or subtracting terms with same baseex: 2³+2⁵ | Pull out the common factor: 2³+2⁵ = 2³(1+2²) |
| Adding or subtracting terms with different bases: ex: 2³+6³ | Break down bases and pull out common factor: 2³+6³ =2³ + (2·3)³ =2³ + 2³·3³ =2³(1+3³) |
| Squares to memorize: 1² 11² 12² 13² 14² 15² 20² 30² | 1² = 1 11² = 121 12² = 144 13² = 169 14² = 196 15² = 225 20² = 400 30² = 900 |
| Cubes to memorize 1³ 2³ 3³ 4³ 5³ 10³ | 1³ = 1 2³ = 8 3³ = 27 4³ = 64 5³ = 125 10³ = 1000 |
| Powers of 2: 2³ 2⁴ 2⁵ 2⁶ 2⁷ 2⁸ 2⁹ 2¹⁰ | 2³ = 8 2⁴ = 16 2⁵ = 32 2⁶ = 64 2⁷ = 128 2⁸ = 256 2⁹ = 512 2¹⁰ = 1024 |
| Other Powers 3³ 3⁴ 4³ 5³ | 3³ = 27 3⁴ = 81 4³ = 64 5³ = 125 |
| Exponents come before negative signs: -3² (-3)² | -3² = - (3²) = -9 (-3)² = 9 |
| Negative Numbers raised to positive power are always positive. Negative numbers raised to odd power are always negative. | ... |
| An even exponent can hide the sign of the base. ex: x²=16 | x²=16 x can = 4 or -4 |
| Multiply Terms with same base ex: a²·a³ ex: 2³· | ... |
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