# Evaluate -2/5*(2)^3+( square root of 16)/( cube root of -1000)

-25⋅(2)3+16-10003
Simplify each term.
Raise 2 to the power of 3.
-25⋅8+16-10003
Multiply -25⋅8.
Multiply 8 by -1.
-8(25)+16-10003
Combine -8 and 25.
-8⋅25+16-10003
Multiply -8 by 2.
-165+16-10003
-165+16-10003
Move the negative in front of the fraction.
-165+16-10003
Simplify the numerator.
Rewrite 16 as 42.
-165+42-10003
Pull terms out from under the radical, assuming positive real numbers.
-165+4-10003
-165+4-10003
Simplify the denominator.
Rewrite -1000 as (-10)3.
-165+4(-10)33
Pull terms out from under the radical, assuming real numbers.
-165+4-10
-165+4-10
Cancel the common factor of 4 and -10.
Factor 2 out of 4.
-165+2(2)-10
Cancel the common factors.
Factor 2 out of -10.
-165+2⋅22⋅-5
Cancel the common factor.
-165+2⋅22⋅-5
Rewrite the expression.
-165+2-5
-165+2-5
-165+2-5
Move the negative in front of the fraction.
-165-25
-165-25
Combine the numerators over the common denominator.
-16-25
Subtract 2 from -16.
-185
Move the negative in front of the fraction.
-185
The result can be shown in multiple forms.
Exact Form:
-185
Decimal Form:
-3.6
Mixed Number Form:
-335
Evaluate -2/5*(2)^3+( square root of 16)/( cube root of -1000)

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