Question

Evaluate the numerical expression the quantity 3 to the power of five sixths end quantity over the quantity 3 to the power of one sixth end quantity.

Answer 1

`\frac{3^{(5)/(6) } }{3^{(1)/(6) } }`

Explanation:

Assuming you want the actual answer to this problem as well, you can use the formula
`x^{(m)/(n) } = \sqrt[n]{x^(m) }`

1.
`3^{(5)/(6) } = \sqrt[6]{3^(5) }`

2.
`3^(5) = 243`

3. Your calculator should have a button that looks like
`\sqrt[x]{}`, typically in a blue font. The blue font means that in order to access that button, you will have to hit the blue button labeled "2nd" first. You'll simply input
`\sqrt[6]{243}`

4.
`\sqrt[6]{243}` = 2.498

5.
`3^{(1)/(6) } = \sqrt[6]{3^(1) }`

6.
`\sqrt[6]{3} = 1.201`

7. 2.498/1.201 = 2.08