Answer:
[tex]a=6[/tex]
[tex]b=7[/tex].
Step-by-step explanation:
The given exponential equation is;
[tex](5x^a)(bx^2)=35x^8[/tex]
We multiply out to obtain;
[tex]5b(x^a)(x^2)=35x^8[/tex]
Recall and use [tex]a^m\times a^n=a^{m+n}[/tex]
[tex]5bx^{a+2}=35x^8[/tex]
For the RHS to equal to the LHS,then
[tex]5b=35[/tex] and [tex]a+2=8[/tex].
[tex]b=\frac{35}{5}[/tex] and [tex]a=8-2[/tex]
[tex]b=7[/tex] and [tex]a=6[/tex].
