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

-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 8i(5i).
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

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