Basic Math Examples

Solve for z z^3=-1/2
Step 1
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 2
Simplify .
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Step 2.1
Rewrite as .
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Step 2.1.1
Rewrite as .
Step 2.1.2
Rewrite as .
Step 2.2
Pull terms out from under the radical.
Step 2.3
Raise to the power of .
Step 2.4
Rewrite as .
Step 2.5
Any root of is .
Step 2.6
Multiply by .
Step 2.7
Combine and simplify the denominator.
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Step 2.7.1
Multiply by .
Step 2.7.2
Raise to the power of .
Step 2.7.3
Use the power rule to combine exponents.
Step 2.7.4
Add and .
Step 2.7.5
Rewrite as .
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Step 2.7.5.1
Use to rewrite as .
Step 2.7.5.2
Apply the power rule and multiply exponents, .
Step 2.7.5.3
Combine and .
Step 2.7.5.4
Cancel the common factor of .
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Step 2.7.5.4.1
Cancel the common factor.
Step 2.7.5.4.2
Rewrite the expression.
Step 2.7.5.5
Evaluate the exponent.
Step 2.8
Simplify the numerator.
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Step 2.8.1
Rewrite as .
Step 2.8.2
Raise to the power of .
Step 3
The result can be shown in multiple forms.
Exact Form:
Decimal Form: