Question

Examine Tamika’s work below. What is Tamika’s error?

A.) She added the exponents.

b.) She simplified the coefficients incorrectly.

c.) She divided the exponents.

d.) She moved bases with positive exponents.

Answer 1

the answer would be A. adding the exponents

Answer 2

(A)

Explanation:

Tamika's work is wrong as:

The given equation is:

`(18a^(-5)b^(-6))/(30a^3b^(-5))`

She added the components, while the components must be subtracted in this equation, thus the equation becomes

=
`(3a^(-5)a^(-3)b^(-6)b^5)/(5)`

=
`(3a^(-8)b^(-1))/(5)`

=
`(3)/(5a^8b)`

which is the required simplified form.

Thus, the option A is correct.