Pre-Algebra Examples

Solve for x (8x-8)^(3/2)=64
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 exponent.
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Step 2.1
Simplify the left side.
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Step 2.1.1
Simplify .
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Step 2.1.1.1
Multiply the exponents in .
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Step 2.1.1.1.1
Apply the power rule and multiply exponents, .
Step 2.1.1.1.2
Cancel the common factor of .
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Step 2.1.1.1.2.1
Cancel the common factor.
Step 2.1.1.1.2.2
Rewrite the expression.
Step 2.1.1.1.3
Cancel the common factor of .
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Step 2.1.1.1.3.1
Cancel the common factor.
Step 2.1.1.1.3.2
Rewrite the expression.
Step 2.1.1.2
Simplify.
Step 2.2
Simplify the right side.
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Step 2.2.1
Simplify .
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Step 2.2.1.1
Simplify the expression.
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Step 2.2.1.1.1
Rewrite as .
Step 2.2.1.1.2
Apply the power rule and multiply exponents, .
Step 2.2.1.2
Cancel the common factor of .
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Step 2.2.1.2.1
Cancel the common factor.
Step 2.2.1.2.2
Rewrite the expression.
Step 2.2.1.3
Raise to the power of .
Step 3
Solve for .
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Step 3.1
Move all terms not containing to the right side of the equation.
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Step 3.1.1
Add to both sides of the equation.
Step 3.1.2
Add and .
Step 3.2
Divide each term in by and simplify.
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Step 3.2.1
Divide each term in by .
Step 3.2.2
Simplify the left side.
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Step 3.2.2.1
Cancel the common factor of .
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Step 3.2.2.1.1
Cancel the common factor.
Step 3.2.2.1.2
Divide by .
Step 3.2.3
Simplify the right side.
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Step 3.2.3.1
Divide by .