The value of the expression (3.5^7/3.5^6)^2 is 12.25
The expression is given as
3.5 raised to the seventh power divided by 3.5 raised to the sixth power, all raised to the second power.
Rewrite properly as
(3.5^7/3.5^6)^2
Apply the law of indices
So, we have
(3.5^7/3.5^6)^2 = (3.5^7-6)^2
This gives
(3.5^7/3.5^6)^2 = (3.5)^2
Evaluate the exponent
(3.5^7/3.5^6)^2 = 12.25
Hence, the value of the expression (3.5^7/3.5^6)^2 is 12.25
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