Simplifying Expressions with Multiple Index Laws
Name: ___________________________
Date: ___________________________
Index Laws Reminder:
• am × an = am+n
• am ÷ an = am-n
• (am)n = amn
• a0 = 1
Part A: Simplify these expressions
1.
x5 × x3 ÷ x2
= _____________________
2.
(y4)2 × y3
= _____________________
3.
a8 ÷ a3 ÷ a2
= _____________________
4.
(m3)4 ÷ m7
= _____________________
5.
p6 × (p2)3
= _____________________
6.
b10 ÷ (b2)3
= _____________________
Part B: Simplify these more complex expressions
7.
(x3)2 × x4 ÷ x5
= _____________________
8.
t9 ÷ (t2)3 × t4
= _____________________
9.
(k5 × k3)2
= _____________________
10.
(n8 ÷ n2)3
= _____________________
11.
c12 ÷ (c3)2 ÷ c3
= _____________________
12.
(z4)3 × z5 ÷ (z2)4
= _____________________
Part C: Challenge questions
13.
(a3 × a5)2 ÷ (a4)3
= _____________________
14.
r15 ÷ (r3 × r2)2
= _____________________
15.
(d6 ÷ d2)3 × d4 ÷ d10
= _____________________