Question

Please help with this question. Only valid answers.

Answer 1

33Answer:

120
`(29)/(30)`

Explanation:

Using the rules of exponents

•
`a^(-m)` ⇔
`(1)/(a^(m) )`

•
`a^{(m)/(n) }` ⇔
`\sqrt[n]{a^(m) }`

Evaluating each term

`225^{-(1)/(2) }` =
`\frac{1}{225^{(1)/(2) } }` =
`(1)/(15)`

`1000^{-(1)/(3) }` =
`\frac{1}{1000^{(1)/(3) } }` =
`(1)/(10)`

`1331^{(2)/(3) }` =
`\sqrt[3]{1331^(2) }` = 121

Hence

`(1)/(15)` -
`(1)/(10)` + 121

= 121 -
`(1)/(30)` = 20
`(29)/(30)`