Q. 81
Express each of the following in single exponential form:
(a) 23 × 33
(b) 24 × 42
(c) 52 × 72
(d) (– 5)5 × (–5)
(e) (– 3)3 × (– 10)3
(f) (– 11)2 × (– 2)2
Answer :
(a) According to law of indices:
am × bm = (ab)m
Here in the question,
23 × 33 = (3 × 2)3
= 63
(b) 23 = 2 × 2 × 2 × 2
= 16
42 = 16
24 × 42 = 16 × 16
= 162
(c) According to law of indices:
am × bm = (ab)m
Here in the question,
52 = 25
72 = 49
52 × 72 = (5 × 7)2
= 352
(d) (– 5)5 × (–5) = (– 5)5 + 1
= (– 5)6
(e) According to law of indices:
am × bm = (ab)m
Here in the question,
(– 3)3 × (– 10)3 = (-3 × -10)3
= (30)3
(f) According to law of indices:
am × bm = (ab)m
Here in the question,
(– 11)2 × (– 2)2 = (-11 × -2)2
= 222
Rate this question :
Evaluate
Evaluate
Simplify and express each of the following in exponential form:
Simplify and express each of the following in exponential form:
Simplify and express each of the following in exponential form:
Simplify and express each of the following in exponential form:
Simplify and express each of the following in exponential form:
Evaluate
