Question

awnser the question below B) Correctly simplify the exponential expression please show your work as well

Answer 1

Given the expression:

`((a^4b^(-2)c^5)/(a^(-6)b^(-7)))^4`

A) 2 errors in the student work are:

1) In the step of removing negative exponents, the student makes a⁴ in the denominator.

2) In the step of distributing exponents the student wrote b⁹ and the correct is b²⁰

B) Correctly simplify the exponential expression please show your work as well

Removing the negative exponents:

`((a^4a^6b^7c^5)/(b^2))^4`

Dividing and multiplication of the exponents:

`(a^(10)b^5c^5)^4`

Distributing the exponents:

`a^(40)b^(20)c^(20)`