# laws-of-indices-pdf

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Laws of Indices
Video 17 on www.corbettmaths.com
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Examples
Workout
Question 1:
Scan here
Write as a single power of m.
(a) m&sup2; x m&sup3; (b) m&sup3; x m&sup3; (c) m⁶ x m&sup2; (d) m⁷ x m&sup3; (e) m⁶ x m⁸ (f) m&sup2; x m
(h) m⁷ x m⁸ (i) m⁹ x m&sup2;
(j) m x m⁸
(k) m⁶ x m⁵ (l) m&sup2; x m&sup2; x m&sup2; x m&sup2;
Question 2:
Write as a single power of n.
(a) n⁵ &divide; n&sup2;
(b) n⁸ &divide; n&sup3;
(c) n⁹ &divide; n&sup2;
(d) n⁷ &divide; n⁵
(h) n⁹ &divide; n&sup3;
(i) n⁴ &divide; n⁸
(j) n &divide; n&sup3;
(k) n⁴⁵ &divide; n⁵ (l) n&sup3; &divide; n&sup3;
Question 3:
Write as a single power of a.
(e) n&sup3; &divide; n
(f) n⁸ &divide; n
(g) n⁷ &divide; n⁴
(e) (y&sup3;)⁶
(f) (y⁷)&sup3;
(g) (y⁶)⁶
(e) y⁷ &divide; y
(f) y&sup3; &divide; y⁷
(g) (y⁹)⁵
(a)
(b)
(c)
(d)
(e)
(f)
(g)
(h)
Question 4:
Write as a single power of y.
(a) (y⁵)&sup2;
(b) (y&sup3;)&sup2;
(c) (y⁴)&sup3;
(d) (y⁵)⁴
(h) (y⁹)&sup2;
(i) (y⁴)⁸
(j) (y&sup3;)−⁵
(k) (y−⁵)&sup2;
Question 5:
Write as a single power of y.
(a) y⁷ x y&sup3;
(b) y⁹ &divide; y⁷
(h) y⁶ x y⁷
(i) y⁶ x y⁵ x y&sup2;
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(c) y⁶ &divide; y&sup2;
(g) m x m&sup3;
(d) (y&sup3;)⁵
(j) y⁸ x y x y&sup3;
(k)
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Laws of Indices
Video 17 on www.corbettmaths.com
Question 6:
Write as a single power of x.
(a) (2x&sup3;)&sup2;
(b) (5x⁶)&sup2;
(c) (5x⁵)&sup3;
(d) (2x&sup3;)⁴
(e) (7x⁵)&sup2;
(f) (4x⁷)&sup3;
(h) (10x⁹)&sup3; (i) (3x⁴)⁴