University:
Felician University
Course:
MATH-002 | Basic Math Skills-Algebra
Academic year:

2020
Views:

42

Pages:

2
Author:

StellarSymphony

Laws of Exponents Simplify. Your answer should contain only positive exponents. x² · x³ = x⁵ (2x³y⁴)² = 4x⁶y⁸ (9y⁵) ÷ (3y²) = 3y³ (2k³)² ÷ (4k²) = 4k⁶ / 4k² = k⁴ (2n⁵)⁻² = 1 / (2²n¹⁰) = 1 / 4n¹⁰ (r²t⁴)³ / (r³t²) = r⁶t¹² / r³t² = r³t¹⁰ (2n²g³)⁻¹ = 1 / (2n²g³) = 1 / 2n²g³ (2r⁵)³ / (2r²) = 8r¹⁵ / 2r² = 4r¹³ (b⁻²)⁴ = b⁻⁸ = 1 / b⁸ (2x)⁴ · 2x³ = 16x⁴ · 2x³ = 32x⁷ (2x⁻³y⁴)⁻¹ / (x⁻²y⁻²) = x²/2y⁴ (x⁻²y³) / (2x⁻⁴y⁻¹) = x²y⁴ / 2 (2x²)³ / (4x⁴y²) = 8x⁶ / 4x⁴y² = 2x²/y² (y⁻³) / (2x⁻²y⁻⁴) = y / 2x⁻² = x²y / 2 "What do you use to unlock the doors of a monastery?" Factor the following expressions. Connect the two factors of each expression together to figure out the joke. x² + 2x + 1 = (x + 1)(x + 1) 2x² + 3x + 1 = (2x + 1)(x + 1) x² + 7x + 12 = (x + 3)(x + 4) 7x² - 1 = (√7x - 1)(√7x + 1) x² + 3 = (x + √3)(x - √3) 5x² + 3 = (√5x + √3)(√5x - √3) x² + 4 = (x + 2i)(x - 2i) Answer: MONKEYS