Express the following in exponential form: (i) 6 × 6 × 6 × 6 (ii) y × y Class 8
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Expert Answer
Express the following in exponential form: (i) 6 × 6 × 6 × 6 (ii) y × y Class 8
Question 1.
Express the following in exponential form: Class 8
(i) 6 × 6 × 6 × 6
(ii) y × y
(iii) b × b × b × b
(iv) 5 × 5 × 7 × 7 × 7
(v) 2 × 2 × a × a
(vi) a × a × a × c × c × c × c × d
Solution:
(i) 64
(ii) y2
(iii) 64
(iv) 52 × 73
(v) 22 × a2
(vi) a3 × c4 × d.
Question 2.
Write the numerical value of each of the following: Class 8
(i) 2 × 103
(ii) 72 × 23
(iii) 3 × 44
(iv) (- 3)2 × (- 5)2
(v) 32 × 104
(vi) (-2)5 × (- 10)6
Solution:
(i) 2 × 103 = 2 × 1000 = 2000.
(ii) 72 × 23 = 49 × 8 = 392.
(iii) 3 × 44 = 3 × 256 = 768.
(iv) (-3)2 × (-5)2 = (-3 × -5)2 = 152 = 225.
(v) 32 × 104 = 9 × 10000 = 90000.
(vi) (-2)5 × (-10)6 = -32 × 1000000
= -32000000.