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