Question

How can I rewrite this in exponential form and then evaluate it?

Answer 1

QUESTION:- EVALUATE THE EXPRESSION

EXPRESSION:-

`{( \sqrt[6]{27 {a}^(3) {b}^(4) } )}^(2)`

ANSWER->

`{( \sqrt[6]{27 {a}^(3) {b}^(4) } )}^(2) \\ {( {27 {a}^(3) {b}^(4) } )}^{ (2)/(6) } \\ {({27 {a}^(3) {b}^(4) } )}^{ \frac{ \cancel{2}}{ \cancel6 {}^( \: 3) } } \\ {(27)}^{ (1)/(3) } {a}^{ (3)/(3) } {b}^{ (4)/(3) } \\{(3)}^{ ( \cancel3)/( \cancel3) } {a}^{ ( \cancel3)/( \cancel3) } {b}^{(3 + 1)/(3) } \\3a {b}^{ ( \cancel3)/( \cancel3) } {b}^{ (1)/(3) }`
`\\ ANSWER->3ab \sqrt[3]{b} \: \: \: \: \: or \: \: 3a {b}^{ (4)/(3) }`