Answer: [tex]30x^5y^5[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}[/tex]
[tex]x^4x=\:x^{4+1}[/tex]
[tex]=10y^2\cdot \:3x^{4+1}y^3[/tex]
[tex]\mathrm{Add\:the\:numbers:}\:4+1=5[/tex]
[tex]=10y^2\cdot \:3x^5y^3[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\\
y^2y^3=\:y^{2+3}\\
=10\cdot \:3x^5y^{2+3}\\
\mathrm{Add\:the\:numbers:}\:2+3=5\\
=10\cdot \:3x^5y^5\\
\mathrm{Multiply\:the\:numbers:}\:10\cdot \:3=30\\
=30x^5y^5\\
[/tex]
Final Answer: [tex]30x^5y^5[/tex]
