Answer Key 6.1
- [latex]4^{1+4+4}=4^9\text{ or }262,144[/latex]
- [latex]4^{1+4+2}=4^7\text{ or }16,384[/latex]
- [latex]2\cdot 4\cdot m^{4+2}n^{2+1}=8m^6n^3[/latex]
- [latex]x^{2+1}y^{4+2}=x^3y^6[/latex]
- [latex]3^{3\cdot 4}=3^{12}\text{ or }531,441[/latex]
- [latex]4^{3\cdot 4}=4^{12}\text{ or }16,772,216[/latex]
- [latex]2^2u^{3\cdot 2}v^{2\cdot 2}=4u^6v^4[/latex]
- [latex]x^3y^3[/latex]
- [latex]4^{5-3}=4^2\text{ or }16[/latex]
- [latex]3^{7-3}=3^4\text{ or }81[/latex]
- [latex]3^{1-1}n^{1-1}m^2=\cancel{3^0} \cancel{n^0} m^2[/latex]
- [latex]4^{-1}x^{2-1}y^{4-1}=4^{-1}xy^3[/latex]
- [latex](2x^{2+3}y^{4+3})^2[/latex]
[latex](2x^5y^7)^2[/latex]
[latex]2^2x^{5\cdot 2}y^{7\cdot 2}[/latex]
[latex]4x^{10}y^{14}[/latex] - [latex][2u^{2+4}v^2]^3[/latex]
[latex][2u^6v^2]^3[/latex]
[latex]2^3u^{6\cdot 3}v^{2\cdot 3} \Rightarrow 8u^{18}v^6[/latex] - [latex][2^3x^3\div x^3]^2[/latex]
[latex][2^3x^{3-3}]^2[/latex]
[latex]2^{3\cdot 2}\cancel{x^0}[/latex]
[latex]2^6 \text{ or }64[/latex] - [latex]2a^{2+7}b^2\div b^2a^{4\cdot 2}[/latex]
[latex]2a^9b^2\div b^2a^8[/latex]
[latex]2a^{9-8}\cancel{b^{2-2}}[/latex]
[latex]2a[/latex] - [latex][2y^{17}\div 2^4x^{2\cdot 4}y^{4\cdot 4}]^3[/latex]
[latex][2y^{17}\div 2^4x^8y^{16}]^3[/latex]
[latex][2^{1-4}y^{17-16}x^{-8}]^3[/latex]
[latex][2^{-3}yx^{-8}]^3[/latex]
[latex]2^{-9}y^3x^{-24}[/latex] - [latex][xy^2\cdot y^8]\div 2y^4[/latex]
[latex]xy^{10}\div 2y^4[/latex]
[latex]2^{-1}xy^{10-4}[/latex]
[latex]2^{-1}xy^6[/latex] - [latex]4x^3y^8\div 2xy^7[/latex]
[latex]2x^2y[/latex] - [latex]2y^3x^2\div x^4y^4[/latex]
[latex]2x^{-2}y^{-1}[/latex] - [latex][q^3r^2\cdot 4p^4q^4r^6]\div 2p^3[/latex]
[latex]4p^4q^7r^8\div 2p^3[/latex]
[latex]2pq^7r^8[/latex] - [latex]4x^6y^{12}z^{10}\div x^4y^8z^8[/latex]
[latex]4x^2y^4z^2[/latex]
