Question

In Exercise, evaluate each expression.
272/3

Answer 1

`\\ 27^{(2)/(3)} = 9`

Explanation:

Remembering some identities, we can solve the question:

`\\ {(x^(a))}^b = x^(a * b)`

`\\ x^(a) * x^(b) = x^(a + b)`

Then,

`\\ 27^{(2)/(3)} = {(3^(3))}^{(2)/(3)}`

`\\ 27^{(2)/(3)} = {3^{(3*2)/(3)}}`

`\\ 27^{(2)/(3)} = 3^(2)`

`\\ 27^{(2)/(3)} = 9`