Question

How do you multiply `(7a^4b^3c^7)^2`?

Answer 1

`(7a^4b^3c^7)^2`
`color(white)("XXXX")` `=7^2*(a^4)^2*(b^3)^2*(c^7)^2`

Since `(b^m)^n = b^(m*n)`
`color(white)("XXXX")` `= 49 * (a^8) * (b^6) * (c^14)`
or
`color(white)("XXXX")` `49a^8b^6c^14`