charitamajballie
Answered

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

Verified Answer :

meerkat18

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

Answer:

\(\frac{(-x)^4}{5}\)

Step-by-step 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.

\(\implies \frac{(-x)^4}{5}\)

Which is the required expression.

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