-64⋅-25

Rewrite -64 as -1(64).

-1(64)⋅-25

Rewrite -1(64) as -1⋅64.

-1⋅64⋅-25

Rewrite -1 as i.

i⋅64⋅-25

Rewrite -25 as -1(25).

i⋅64⋅-1(25)

Rewrite -1(25) as -1⋅25.

i⋅64⋅(-1⋅25)

Rewrite -1 as i.

i⋅64⋅(i⋅25)

Rewrite 64 as 82.

i⋅82⋅(i⋅25)

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

i⋅8⋅(i⋅25)

Move 8 to the left of i.

8⋅i⋅(i⋅25)

Rewrite 25 as 52.

8i⋅(i⋅52)

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

8i⋅(i⋅5)

Move 5 to the left of i.

8i⋅(5⋅i)

Multiply 5 by 8.

40ii

Raise i to the power of 1.

40(i1i)

Raise i to the power of 1.

40(i1i1)

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

40i1+1

Add 1 and 1.

40i2

40i2

Rewrite i2 as -1.

40⋅-1

Multiply 40 by -1.

-40

Multiply square root of -64* square root of -25