Question

please answer me these questions ​

Answer 1

Answer:

Step-by-step explanation:

Q1) we know that

2^5 = 32

therefore = m=2 and n =5

for the question = n^(nm) = 5^10 = option C

Q2)  let x = 0.575757...

therefore 100x= 57.575757...

subtractiong x from 100 x we get

99x = 57

x = 57/99 = 19/33= option B

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Answer 2

Solution:

(Question 8)

It is given that ,

=> mⁿ = 32

=> mⁿ = 2^5

Comparing both the sides, we get ;

m = 2 and n = 5

Thus,

=> (n)^(m×n) = 5^(2×5)

=> (n)^(m×n) = 5^10

Hence,

The required answer is : c) 5^10

Solution:

(Question 9)

Let ,

x = 0.575757.... -------(1)

Multiplying both sides of eq-(1) by 100,

=> 100x = 10×0.575757...

=> 100x = 57.57575... --------(2)

Now,

Subtracting eq-(1) from eq-(2) , we get ;

=> 100x - x = 57.575757... – 0.575757...

=> 99x = 57

=> x = 57/99 or 19/33

Hence,

The required answer is : b) 57/99