Given the expression:
[tex](\frac{a^4b^{-2}c^5}{a^{-6}b^{-7}})^4[/tex]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:
[tex](\frac{a^4a^6b^7c^5}{b^2})^4[/tex]Dividing and multiplication of the exponents:
[tex](a^{10}b^5c^5)^4[/tex]Distributing the exponents:
[tex]a^{40}b^{20}c^{20}[/tex]