# Simplify (i square root of 7)^2

(i7)2
Apply the product rule to i7.
i272
Rewrite i2 as -1.
-172
Rewrite 72 as 7.
Use axn=axn to rewrite 7 as 712.
-1(712)2
Apply the power rule and multiply exponents, (am)n=amn.
-1⋅712⋅2
Combine 12 and 2.
-1⋅722
Cancel the common factor of 2.
Cancel the common factor.
-1⋅722
Divide 1 by 1.
-1⋅71
-1⋅71
Evaluate the exponent.
-1⋅7
-1⋅7
Multiply -1 by 7.
-7
Simplify (i square root of 7)^2