Algebra Examples

Solve by Factoring x^(5/2)=32
Step 1
Subtract from both sides of the equation.
Step 2
Add to both sides of the equation.
Step 3
Raise each side of the equation to the power of to eliminate the fractional exponent on the left side.
Step 4
Simplify the exponent.
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Step 4.1
Simplify the left side.
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Step 4.1.1
Simplify .
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Step 4.1.1.1
Multiply the exponents in .
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Step 4.1.1.1.1
Apply the power rule and multiply exponents, .
Step 4.1.1.1.2
Cancel the common factor of .
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Step 4.1.1.1.2.1
Cancel the common factor.
Step 4.1.1.1.2.2
Rewrite the expression.
Step 4.1.1.1.3
Cancel the common factor of .
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Step 4.1.1.1.3.1
Cancel the common factor.
Step 4.1.1.1.3.2
Rewrite the expression.
Step 4.1.1.2
Simplify.
Step 4.2
Simplify the right side.
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Step 4.2.1
Simplify .
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Step 4.2.1.1
Simplify the expression.
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Step 4.2.1.1.1
Rewrite as .
Step 4.2.1.1.2
Apply the power rule and multiply exponents, .
Step 4.2.1.2
Cancel the common factor of .
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Step 4.2.1.2.1
Cancel the common factor.
Step 4.2.1.2.2
Rewrite the expression.
Step 4.2.1.3
Raise to the power of .