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

Answer:
49/4
Step-by-step explanation:
(-2/7)^-2
~Apply exponent rules
1/(4/49)
~Apply fraction rule
49/4
Best of Luck!
Answer:
The answer is [tex]\frac{49}{4}[/tex]
Step-by-step explanation:
Change the sign of the exponent by rewriting the base as its reciprocal.
(-[tex]\frac{7}{2}[/tex]) to the 2nd power
Use the power rule (ab)n to distribute the exponent.
[tex](-1)^{2} \frac{7^{2} }{2^{2} }[/tex]
Raise −1 to the power of
[tex]\frac{7^{2} }{2^{2} }[/tex]
Multiply [tex]\frac{7^{2} }{2^{2} }[/tex]by 1.
Raise 7 to the power of 2.
[tex]\frac{49}{4}[/tex]
The result can be shown in multiple forms. Which there down below
Exact Form:[tex]\frac{49}{4}[/tex]
Decimal Form:12.25
Mixed Number Form:12[tex]\frac{1}{4}[/tex]