Question

Exponent of properties

Answer 1

A. The error from the simplification of the expression
`2x^6 * 5x * x^3` occurs in
`x^(6 + 3)`.

B. The error occurs because the exponent of 5x was not included in the addition.

C. The correct simplification should have been 2∗5∗
`x^(6+1+3)` =
`10x^{10`.

An exponent expresses large numbers in terms of their powers.

This implies that an exponent refers to how many times a number is multiplied by itself.

On the other hand, monomial expressions are simplified by multiplying the coefficients and adding the exponents of the variables that are the same.

`2x^6 * 5x * x^3`

Addition the exponents and multiply the coefficients as follows:

= 2∗5∗
`x^(6+1+3)` =
`10x^{10`

Thus, the simplified form of the expression
`2x^6 * 5x * x^3` is
`(10x^(10))` and not
`10x^9`.