Question

Simplify:7^x+2-9.7^x/20*7^x​

Answer 1

Given:

The expression is:

`(7^(x+2)-9\cdot 7^x)/(-20* 7^x)`

To find:

The simplified form of the given expression.

Solution:

We have,

`(7^(x+2)-9\cdot 7^x)/(-20* 7^x)`

It can be written as

`(7^(x+2)-9\cdot 7^x)/(-20* 7^x)=(7^(x)\cdot 7^(2)-9\cdot 7^x)/(-20* 7^x)`

`(7^(x+2)-9\cdot 7^x)/(-20* 7^x)=(7^(x)(49-9))/(-20* 7^x)`

Cancel out the common factors.

`(7^(x+2)-9\cdot 7^x)/(-20* 7^x)=(40)/(-20)`

`(7^(x+2)-9\cdot 7^x)/(-20* 7^x)=-2`

Therefore, the simplified value of the given expression is -2.