150k views
8 votes
(-2/7) ^-2?......................

(-2/7) ^-2?......................-example-1
User Dervla
by
7.5k points

2 Answers

13 votes

Answer:

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)

User Anubian Noob
by
7.5k points
6 votes

Answer:

49/4

Explanation:

(-2/7)^-2

~Apply exponent rules

1/(4/49)

~Apply fraction rule

49/4

Best of Luck!

User MaxRocket
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories