Algebraic expressions Flashcards
1
Q
Index laws
aⁿ¹ x aⁿ² = ?
aⁿ¹ / aⁿ² = ?
(aⁿ¹)ⁿ² = ?
A
aⁿ¹ x aⁿ² = aⁿ¹+ⁿ²
aⁿ¹ / aⁿ² = aⁿ¹-ⁿ²
(aⁿ¹)ⁿ² = aⁿ¹xⁿ²
2
Q
Simplify:
1) s⁴ x s³
2) m⁸ / m²
3) (k²)⁴
A
1) s⁴ x s³ = s⁴ + ³ = s⁷
2) m⁸ / m² = m⁸-² = m⁶
3) (k²)⁴ = k²x⁴ = k⁸
3
Q
Squaring/cubing whole expressions
Simplify:
(4x³y)²
A
(4x³y)² = (4)² x (x³)² x (y)²
= 16x⁶y²
4
Q
Negative/fractional indices
a⁻ⁿ = ?
a¹/ⁿ = ?
A
a⁻ⁿ = 1/aⁿ
a¹/ⁿ = ⁿ√a
5
Q
Simplify:
1) (c²)⁻³
2) (8p³)¹/³
A
1) (c²)⁻³ = c²x⁻³ = c⁻⁶ = 1/c⁶
2) (8p³)¹/³ = (8)¹/³ x (p³)¹/³ = ³√8 x p³x¹/³ = 2 x p³/¹x¹/³ = 2p