Question

A monomial in simplest form of degree 5 in terms of x is

Answer 1

A monomial in simplest form of degree 5 in terms of
`\( x \)` is
`\( ax^5 \)`, where
`\( a \)`is a nonzero constant.

Step-by-step explanation:

In algebra, a monomial is a single term consisting of a product of a constant and one or more variables raised to non-negative integer exponents. The term "degree" refers to the highest power of the variable in the monomial. For a monomial of degree 5, it is expressed as
`\( ax^5 \)`, where
`\( a \)` is a nonzero constant multiplier and
`\( x \)` is the variable raised to the power of 5.

To further clarify, a monomial of degree 5 can be written in the general form
`\( ax^5 \)`, where
`\( a \)` represents a constant coefficient, and
`\( x^5 \)` indicates that
`\( x \)` is raised to the fifth power. The presence of the constant
`\( a \)` distinguishes the monomial from a pure power of
`\( x^5 \)`. Additionally, the term "simplest form" implies that the monomial cannot be further simplified or factored, and the degree is kept as high as possible.

Therefore, a monomial in simplest form of degree 5 in terms of
`\( x \)` is
`\( ax^5 \)`, where
`\( a \)` is a nonzero constant. This expression captures the essential characteristics of a monomial of degree 5 while adhering to the principles of simplicity and clarity in mathematical representation.