Question

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

Answer 1

`a=6`

`b=7`.

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* 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=(35)/(5)` and
`a=8-2`

`b=7` and
`a=6`.