Question

(5x^a)(bx^2)=35x^8 a= b=

Answer 1

Answer:

$a=6$

$b=7$.

Step-by-step explanation:

The given exponential equation is;

$(5x^a)(bx^2)=35x^8$

We multiply out to obtain;

$5b(x^a)(x^2)=35x^8$

Recall and use $a^m\times a^n=a^{m+n}$

$5bx^{a+2}=35x^8$

For the RHS  to equal to the LHS,then

$5b=35$  and $a+2=8$.

$b=\frac{35}{5}$  and $a=8-2$

$b=7$  and $a=6$.