Answer:
[tex]x \cdot y=1[/tex]
Step-by-step explanation:
[tex](7^x)^y = 7[/tex]
Apply exponent rule [tex](a^b)^c=a^{bc}[/tex]:
[tex]\implies7^{xy}=7^1[/tex]
[tex]\implies x \cdot y=1[/tex]
Possible values for x and y: [tex]x=\dfrac12 \ \ \ \ \ y=2[/tex]
