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

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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

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3
Q

Squaring/cubing whole expressions

Simplify:

(4x³y)²

A

(4x³y)² = (4)² x (x³)² x (y)²

= 16x⁶y²

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4
Q

Negative/fractional indices

a⁻ⁿ = ?

a¹/ⁿ = ?

A

a⁻ⁿ = 1/aⁿ

a¹/ⁿ = ⁿ√a

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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

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