Answer:
[tex]6x^{13}y^{17}[/tex]
Step-by-step explanation:
We need to multiply
[tex]3x^8y^9.2x^5y^8[/tex]
We know the exponent rule of multiplication:
[tex]x^a y^b . x^cy^d = x^{a+c}y^{b+d}[/tex]
If the bases are same the powers are added.
So,
[tex]=3*2 *x^8*x^5*y^9*y^8\\=^{8+5}y^{9+8}\\=6x^{13}y^{17}[/tex]
So, the answer is:
[tex]6x^{13}y^{17}[/tex]