Question

4÷3 to the -2nd power

Answer 1

When a power is negative it can be written as one over number raised to the power ( 5
`^(-2)` =
`(1)/(5^(2) )`)

∴ (4 ÷ 3)
`^(-2)` =
`(1)/(( (4)/(3))^(2) )`

=
`(1)/( (16)/(9) )`

= 1 ÷
`(16)/(9)`

= 1 ×
`(9)/(16)`

Thus (4 ÷ 3)
`^(-2)` =
`(9)/(16)`