Answer:
[tex]\frac{1}{7}[/tex]
Step-by-step explanation:
[tex]49^{-\frac{1}{2}}[/tex]
Use exponential property to make the exponent positive
[tex]a^m = \frac{1}{a^m}[/tex]
We take the reciprocal of the base to make the exponent positive
[tex]49^{-\frac{1}{2}}= \frac{1}{49^{\frac{1}{2}}}[/tex]
49 can be written as 7*7 = 7^2
[tex]\frac{1}{(7^2)^{\frac{1}{2}}}[/tex]
Now we cancel out 2
[tex]\frac{1}{7}[/tex]
