Question

49. The value of (32)^ 17/100 ×(2)^3\20​

Answer 1

Step-by-step explanation:

Before solving these types of Questions, we must know certain important results

1. If a = b^n

then a^m = (b^n)^m

= b^(n × m)

2. (a^m) × (a^n) = a^(m + n)

Now,

we have,

((32)^(17/100)) × ((2)^(3/20))

But we know that,

32 = 2 × 2 × 2 × 2 ×2

32 = 2⁵

then,

((32)^(17/100)) × ((2)^(3/20))

= ((2⁵)^(17/100)) × ((2)^(3/20))

= ((2)^(5 × (17/100)) × ((2)^(3/20))

= ((2)^(17/20)) × ((2)^(3/20))

= (2)^((17/20) + (3/20))

= 2^((17 + 3)/20)

= 2^(20/20)

= 2¹

= 2

Thus,

((32)^(17/100)) × ((2)^(3/20)) = 2

Now, you might not have understood this typing, so I have also uploaded a written image of this solution above, please do refer it.

Hope it helped and you understood it........All the best

Answer 2

Answer:

the answer of this question is 2

Step-by-step explanation:

hope it helps you