Simplifying Variable CUBES
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x4 • x4 • x4 = x12 x3 • x3 • x3 = x9 x • x • x = x3 x2 • x2 • x2 = x6 Perfect CUBES Perfect variableCubes have exponentsthat aremultiples of: 2 3 4 5 Perfect cubes with a variable base (like x), have powers that are multiples of 3. x2 x7 Click on ALL perfect Cubes x3 x8 x5 x23 x42 x6  x12 x9 ? x6 ? = = = x4 ? x2 ? x3 Drag the terms to the correct locations Perfect variableCubes have exponentsthat aremultiples of 3. Simplify the perfect CUBE. Bring down the imperfect CUBE: Rewrite using the GREATEST perfect CUBE factor: Simplify: x12 x4 ? x14 x2 x2 ? Simplify the perfect CUBE. Bring down the imperfect CUBE: Rewrite using the GREATEST perfect CUBE factor: Simplify: x36 x x37 x1 x Simplify the perfect CUBE. Bring down the imperfect CUBE: Rewrite using the GREATEST perfect CUBE factor: Simplify: x9 x x11 x x Simplify the perfect CUBE. Bring down the imperfect CUBE: Rewrite using the GREATEST perfect CUBE factor: Simplify: x x x22 x x Simplify the perfect CUBE. Bring down the imperfect CUBE: Rewrite using the GREATEST perfect CUBE factor: Simplify: x x x8 x x Rewrite using the GREATEST perfect CUBE factor: Simplify: Simplify the perfect CUBE. Bring down the imperfect CUBE: a x a x a5x7 a x a x These are SIMPLIFIED CUBE roots. They have NO perfect cube factors. x2 a a2x2 ax2 a2x x Click ALL SIMPLIFIED CUBE roots. a2 x a2 x a2x2 ax3 a2x2 ax3 a4x x5 x5 a4x  Purr-fect CUBE |
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