# Solve for c 5c^3=-2

5c3=-2
Divide each term by 5 and simplify.
Divide each term in 5c3=-2 by 5.
5c35=-25
Cancel the common factor of 5.
Cancel the common factor.
5c35=-25
Divide c3 by 1.
c3=-25
c3=-25
Move the negative in front of the fraction.
c3=-25
c3=-25
Take the cube root of both sides of the equation to eliminate the exponent on the left side.
c=-253
Simplify -253.
Rewrite -25 as ((-1)3)325.
Rewrite -1 as (-1)3.
c=(-1)3253
Rewrite -1 as (-1)3.
c=((-1)3)3253
c=((-1)3)3253
Pull terms out from under the radical.
c=(-1)3253
Raise -1 to the power of 3.
c=-253
Rewrite 253 as 2353.
c=-2353
Multiply 2353 by 532532.
c=-(2353⋅532532)
Combine and simplify the denominator.
Multiply 2353 and 532532.
c=-2353253532
Raise 53 to the power of 1.
c=-23532531532
Use the power rule aman=am+n to combine exponents.
c=-23532531+2
c=-23532533
Rewrite 533 as 5.
Use axn=axn to rewrite 53 as 513.
c=-23532(513)3
Apply the power rule and multiply exponents, (am)n=amn.
c=-23532513⋅3
Combine 13 and 3.
c=-23532533
Cancel the common factor of 3.
Cancel the common factor.
c=-23532533
Divide 1 by 1.
c=-2353251
c=-2353251
Evaluate the exponent.
c=-235325
c=-235325
c=-235325
Simplify the numerator.
Rewrite 532 as (52)13.
c=-235235
Raise 5 to the power of 2.
c=-232535
c=-232535
Simplify the numerator.
Combine using the product rule for radicals.
c=-2⋅2535
Multiply 2 by 25.
c=-5035
c=-5035
c=-5035
The result can be shown in multiple forms.
Exact Form:
c=-5035
Decimal Form:
c=-0.73680629…
Solve for c 5c^3=-2

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