Trigonometry Examples

Solve for v (v-7)^(2/3)=3
Step 1
Raise each side of the equation to the power of to eliminate the fractional exponent on the left side.
Step 2
Simplify the left side.
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Step 2.1
Simplify .
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Step 2.1.1
Multiply the exponents in .
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Step 2.1.1.1
Apply the power rule and multiply exponents, .
Step 2.1.1.2
Cancel the common factor of .
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Step 2.1.1.2.1
Cancel the common factor.
Step 2.1.1.2.2
Rewrite the expression.
Step 2.1.1.3
Cancel the common factor of .
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Step 2.1.1.3.1
Cancel the common factor.
Step 2.1.1.3.2
Rewrite the expression.
Step 2.1.2
Simplify.
Step 3
The complete solution is the result of both the positive and negative portions of the solution.
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Step 3.1
First, use the positive value of the to find the first solution.
Step 3.2
Add to both sides of the equation.
Step 3.3
Next, use the negative value of the to find the second solution.
Step 3.4
Add to both sides of the equation.
Step 3.5
The complete solution is the result of both the positive and negative portions of the solution.
Step 4
The result can be shown in multiple forms.
Exact Form:
Decimal Form: