Question

(-2/7) ^-2?......................

Answer 1

The answer is
`(49)/(4)`

Explanation:

Change the sign of the exponent by rewriting the base as its reciprocal.

(-
`(7)/(2)`) to the 2nd power

Use the power rule (ab)n to distribute the exponent.

`(-1)^(2) (7^(2) )/(2^(2) )`

Raise −1 to the power of

`(7^(2) )/(2^(2) )`

Multiply
`(7^(2) )/(2^(2) )`by 1.

Raise 7 to the power of 2.

`(49)/(4)`

The result can be shown in multiple forms. Which there down below

Exact Form:
`(49)/(4)`

Decimal Form:12.25

Mixed Number Form:12
`(1)/(4)`

Answer 2

49/4

Explanation:

(-2/7)^-2

~Apply exponent rules

1/(4/49)

~Apply fraction rule

49/4

Best of Luck!