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Laws of Indices
Video 17 on www.corbettmaths.com
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Examples
Workout
Question 1:
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Write as a single power of m.
(a) m² x m³ (b) m³ x m³ (c) m⁶ x m² (d) m⁷ x m³ (e) m⁶ x m⁸ (f) m² x m
(h) m⁷ x m⁸ (i) m⁹ x m²
(j) m x m⁸
(k) m⁶ x m⁵ (l) m² x m² x m² x m²
Question 2:
Write as a single power of n.
(a) n⁵ ÷ n²
(b) n⁸ ÷ n³
(c) n⁹ ÷ n²
(d) n⁷ ÷ n⁵
(h) n⁹ ÷ n³
(i) n⁴ ÷ n⁸
(j) n ÷ n³
(k) n⁴⁵ ÷ n⁵ (l) n³ ÷ n³
Question 3:
Write as a single power of a.
(e) n³ ÷ n
(f) n⁸ ÷ n
(g) n⁷ ÷ n⁴
(e) (y³)⁶
(f) (y⁷)³
(g) (y⁶)⁶
(e) y⁷ ÷ y
(f) y³ ÷ y⁷
(g) (y⁹)⁵
(a)
(b)
(c)
(d)
(e)
(f)
(g)
(h)
Question 4:
Write as a single power of y.
(a) (y⁵)²
(b) (y³)²
(c) (y⁴)³
(d) (y⁵)⁴
(h) (y⁹)²
(i) (y⁴)⁸
(j) (y³)−⁵
(k) (y−⁵)²
Question 5:
Write as a single power of y.
(a) y⁷ x y³
(b) y⁹ ÷ y⁷
(h) y⁶ x y⁷
(i) y⁶ x y⁵ x y²
© CORBETTMATHS 2016
(c) y⁶ ÷ y²
(g) m x m³
(d) (y³)⁵
(j) y⁸ x y x y³
(k)
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Laws of Indices
Video 17 on www.corbettmaths.com
Question 6:
Write as a single power of x.
(a) (2x³)²
(b) (5x⁶)²
(c) (5x⁵)³
(d) (2x³)⁴
(e) (7x⁵)²
(f) (4x⁷)³
(h) (10x⁹)³ (i) (3x⁴)⁴
Answers
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© CORBETTMATHS 2016
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(g) (2x⁶)⁶