Question

Which of the following algebraic expressions represents the verbal expression given below?

The opposite of a number, raised to the fourth power, is divided by five.

of a number =x

opposite is just -

so we start with a -x

Answer 1

`((-x)^4)/(5)`

Explanation:

Here x represent the required number,

Since, opposite of a number that gives 0 ( additive identity ) after adding to the number.

Also, the opposite of a number gets after changing the sign of the number.

So, the opposite of x = -x,

Given phrase is,

The opposite of x, raised to the fourth power, is divided by five.

`\implies ((-x)^4)/(5)`

Which is the required expression.

Answer 2

To answer, let x be the number, if we talk about its additive opposite that would be -x. Raise this value to exponent four and then divide by five. The expression that would best express this given is,
(-x)^4 / 5