Question

The expression (x^22)(x^7)^3 is equivalent to x^p.what is the value of p

Answer 1

`p=43`

Explanation:

(
`x^(22)`)(
`x^(7)`)³ =
`x^(p)`

(
`x^(7)`)³ =
`x^(7*3)` =
`x^(21)`

(
`x^(22)`) (
`x^(21)`) =
`x^(22+21)` =
`x^(43)`

`x^(43)` =
`x^(p)`

`\ln \left(x^(43) )=\ln \left(x^p\right)`

`p\ln \left(x\right)=\ln \left(x^(43)\right)`

`(p\ln \left(x\right))/(\ln \left(x\right))=(\ln \left(x^(43)\right))/(\ln \left(x\right))`

`p=43`