(-3210⋅44)2

Rewrite 32 as 25.

(-2510⋅44)2

Rewrite 2510 as 255.

(-255⋅44)2

Pull terms out from under the radical, assuming real numbers.

(-2⋅44)2

Rewrite 4 as 22.

(-2⋅224)2

Rewrite 224 as 22.

(-2⋅22)2

Pull terms out from under the radical, assuming positive real numbers.

(-2⋅2)2

Raise 2 to the power of 1.

(-(212))2

Raise 2 to the power of 1.

(-(2121))2

Use the power rule aman=am+n to combine exponents.

(-21+1)2

Add 1 and 1.

(-22)2

(-22)2

Rewrite 2 as 212.

(-(212)2)2

Apply the power rule and multiply exponents, (am)n=amn.

(-212⋅2)2

Combine 12 and 2.

(-222)2

Cancel the common factor of 2.

Cancel the common factor.

(-222)2

Divide 1 by 1.

(-21)2

(-21)2

Evaluate the exponent.

(-1⋅2)2

(-1⋅2)2

Multiply -1 by 2.

(-2)2

Raise -2 to the power of 2.

4

4

Simplify (-10 root of 32* fourth root of 4)^2