Answer Key 6.2
[latexpage]
- \(2x^4y^{-2}\cdot 2^4x^4y^{12}\)
\(2^5x^8y^{10}\Rightarrow 32x^8y^{10}\) - \(2a^{-2}b^{-3}\cdot 2^4b^{16}\)
\(32a^{-2}b^{13}\Rightarrow \dfrac{32b^{13}}{a^2}\) - \(2^4x^8y^8\cdot x^{-4}\)
\(2^4x^4y^8\Rightarrow 16x^4y^8\) - 1
- \(2x^{-3--3}y^{2-3}3^{-2}\)
\(2\cancel{x^0}y^{-1}3^{-2}\Rightarrow \dfrac{2}{9y}\) - \(3y^3\div [6x^7y^{-2}]\)
\(3x^{-7}y^{3--2}\div 6\)
\(3x^{-7}y^5\div 6 \Rightarrow \dfrac{y^5}{2x^7}\) - \(2y\div y^8\)
\(2y^{1-8}\)
\(2y^{-7}\Rightarrow \dfrac{2}{y^7}\) - \(a^{16}\div 2b\Rightarrow \dfrac{a^{16}}{2b}\)
- \(2^4a^8b^{12}\div a^{-1}\)
\(16a^{8+1}b^{12}\)
\(16a^9b^{12}\) - \(2^{-2}y^{8}\div x^2\Rightarrow \dfrac{y&8}{2^2x^2}\Rightarrow \dfrac{y^8}{4x^2}\)
- \(2^4m^4n^{4--2}\)
\(16m^4n^6\) - \(2x^{-3}\div x^{-4}y^3\)
\(2x^{-3--4}y^{-3}\Rightarrow 2xy^{-3} \Rightarrow \dfrac{2x}{y^3}\) - \([2u^{-2}v^3\cdot 2^{-1}u^{-1}v^{-4}]\div 2u^{-4}\)
\([u^{-3}v^{-1}]\div 2u^{-4}\)
\(2^{-1}u^{-3--4}v^{-1}\)
\(2^{-1}uv^{-1}\Rightarrow \dfrac{u}{2v}\) - \(2y \div 2^{-1}y^{-4}\)
\(2y\cdot 2y^4 \Rightarrow 4y^5\) - \(b^{-1}\div 2a^{-3}b^2\)
\(b^{-1}\cdot 2^{-1}a^3b^{-2}\Rightarrow \dfrac{a^3}{2b^3}\) - \(2x^2yz \div [2x^4y^4z^{-2}z^4y^8]\)
\(2x^2yz \div [2x^4y^{12}z^2]\)
\(2x^2yz \cdot z^{-1}x^{-4}y^{-12}z^{-2}\)
\(x^{-2}y^{-11}z^{-1}\Rightarrow \dfrac{1}{x^2y^{11}z}\) - \(2a^{-3}b^2c^2b^6\div a^9b^{-6}c^9\)
\(2a^{-3}b^8c^2\cdot a^{-9}b^6c^{-9}\)
\(2a^{-12}b^{14}c^{-7}\Rightarrow \dfrac{2b^{14}}{a^{12}c^7}\) - \(2m^2p^2q^5 \div [2^3m^3\cdot 4^3p^6]\)
\(2m^2p^2q^5 \div [2^3m^3\cdot 2^6p^6]\)
\(2m^2p^2q^5 \div 2^9m^3p^6\)
\(2m^2p^2q^5\cdot 2^{-9}m^{-3}p^{-6}\)
\(2^{-8}m^{-1}p^{-4}q^5\Rightarrow \dfrac{q^5}{2^8mp^4}\Rightarrow \dfrac{q^5}{256mp^4}\) - \(y^{-1}x^4z^{-2}\div x^2y^3z^2\)
\(y^{-1}x^4z^{-2}\cdot x^{-2}y^{-3}z^{-2}\)
\(x^2y^{-4}z^{-4}\Rightarrow \dfrac{x^2}{y^4z^4}\) - \(2mpn^{-3}\div 2n^2n^{-12}p^6\)
\(2mpn^{-3}\div 2n^{-10}p^6\)
\(2mpn^{-3}\cdot 2^{-1}n^{10}p^{-6}\)
\(mp^{-5}n^7\Rightarrow \dfrac{mn^7}{p^5}\)
