1Cademy - A logistics coordinator is simplifying the expression $\left(\frac{4p^{-3}}{q^2}\right)^2$ to update a cargo volume report. After applying the power properties, the coordinator reaches the intermediate form $\frac{16p^{-6}}{q^4}$. To finish the simplification using only positive exponents, the term $p^{-6}$ must be moved to the denominator. In the final simplified form $\frac{16}{p^n q^4}$, what is the value of the exponent $n$ that replaces the negative exponent?

Learn Before

Simplifying $\left(\frac{4p^{-3}}{q^2}\right)^2$ and $\left(\frac{3x^{-2}}{y^3}\right)^3$ Using Exponent Properties

Fill in the Blank

A logistics coordinator is simplifying the expression $\left(\frac{4p^{-3}}{q^2}\right)^2$ to update a cargo volume report. After applying the power properties, the coordinator reaches the intermediate form $\frac{16p^{-6}}{q^4}$ . To finish the simplification using only positive exponents, the term $p^{-6}$ must be moved to the denominator. In the final simplified form $\frac{16}{p^n q^4}$ , what is the value of the exponent $n$ that replaces the negative exponent?

Updated 2026-09-18

Contributors are:

Who are from:

Learn Before

Related