Question

(11^2x × 11^1 - 6 × 121^x )÷ (5 × 121^x)​

Answer 1

`(1331x-6* \:121^x)/(5* \:121^x)`

Explanation:

`(11^2x* \:11^1-6* \:121^x)/(5* \:121^x)`

`\mathrm{Apply\:exponent\:rule}:\quad \:a^b* \:a^c=a^(b+c)`

`11^2* \:11^1=11^(2+1)`

`=(11^(2+1)x-6* \:121^x)/(5* \:121^x)`

`\mathrm{Add\:the\:numbers:}\:2+1=3`

`=(11^3x-6* \:121^x)/(5* \:121^x)`

`11^3=1331`

`=(1331x-6* \:121^x)/(5* \:121^x)`

[RevyBreeze]

Answer 2

1

Explanation:

`(11^(2x) * 11^1 - 6 * 121^x)/(5 * 121^x) =`

​
`= (11 * 11^(2x) - 6 * 11^(2x))/(5 * 11^(2x))`

​
`= (5 * 11^(2x))/(5 * 11^(2x))`

​
`= 1`