Question

16 power 27 +37 is divided 17 what will be the remainder ?

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Answer 1

Answer:

2

Step-by-step explanation:

Apply remainder theorem

When f(x) is divided by (x+a) the remainder is f(-a)

Here f(x) is 16^27 and x is 16 . Therefore the remainder is f(-1), which is -1.

Now the second part 37 is divided by 17 the remainder is 3.

Therefore the final answer is -1+3=2

Hope it will help you....

Answer 2

The remainder value for (16²⁷+37)/17 is 2

Given:

The expression (16²⁷+37)/17

To Find:

The remainder of (16²⁷+37)/17

Solution:

The given expression can be written as

        = (16²⁷/17+37/17)

According to remainder theorem,

The remainder of the form f(x)/f(x+a) is f(-a)

Therefore, the remainder of 16²⁷/17 can be written as

Here, x = 16 a = 1 then,

f(16)/f(16+1) = f(-1)

Therefore the remainder of 16²⁷/17 is -1

Likewise, the remainder of 37/17 is 2

To get the remainder of the expression (16²⁷/17+37/17) remainder of the each part is to be added. By doing so we get,

Remainder of (16²⁷+37)/17 = Remainder of 16²⁷/17+ Remainder of 37/17

                                           =  -1 +2

                                           = 1

Therefore the remainder of (16²⁷+37)/17 is 2

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