Pre-Algebra Examples

Solve Using the Square Root Property 5x^(7/2)-15=0
Step 1
Add to both sides of the equation.
Step 2
Raise each side of the equation to the power of to eliminate the fractional exponent on the left side.
Step 3
Simplify the left side.
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Step 3.1
Simplify .
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Step 3.1.1
Apply the product rule to .
Step 3.1.2
Multiply the exponents in .
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Step 3.1.2.1
Apply the power rule and multiply exponents, .
Step 3.1.2.2
Cancel the common factor of .
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Step 3.1.2.2.1
Cancel the common factor.
Step 3.1.2.2.2
Rewrite the expression.
Step 3.1.2.3
Cancel the common factor of .
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Step 3.1.2.3.1
Cancel the common factor.
Step 3.1.2.3.2
Rewrite the expression.
Step 3.1.3
Simplify.
Step 3.1.4
Reorder factors in .
Step 4
Divide each term in by and simplify.
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Step 4.1
Divide each term in by .
Step 4.2
Simplify the left side.
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Step 4.2.1
Cancel the common factor.
Step 4.2.2
Divide by .
Step 4.3
Simplify the right side.
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Step 4.3.1
Use the power of quotient rule .
Step 4.3.2
Divide by .