Pre-Algebra Examples

Simplify ((12x^8)/(75y^10))^(1/2)
Step 1
Cancel the common factor of and .
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Step 1.1
Factor out of .
Step 1.2
Cancel the common factors.
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Step 1.2.1
Factor out of .
Step 1.2.2
Cancel the common factor.
Step 1.2.3
Rewrite the expression.
Step 2
Use the power rule to distribute the exponent.
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Step 2.1
Apply the product rule to .
Step 2.2
Apply the product rule to .
Step 2.3
Apply the product rule to .
Step 3
Simplify the numerator.
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Step 3.1
Rewrite as .
Step 3.2
Apply the power rule and multiply exponents, .
Step 3.3
Cancel the common factor of .
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Step 3.3.1
Cancel the common factor.
Step 3.3.2
Rewrite the expression.
Step 3.4
Evaluate the exponent.
Step 3.5
Multiply the exponents in .
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Step 3.5.1
Apply the power rule and multiply exponents, .
Step 3.5.2
Cancel the common factor of .
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Step 3.5.2.1
Factor out of .
Step 3.5.2.2
Cancel the common factor.
Step 3.5.2.3
Rewrite the expression.
Step 4
Simplify the denominator.
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Step 4.1
Rewrite as .
Step 4.2
Apply the power rule and multiply exponents, .
Step 4.3
Cancel the common factor of .
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Step 4.3.1
Cancel the common factor.
Step 4.3.2
Rewrite the expression.
Step 4.4
Evaluate the exponent.
Step 4.5
Multiply the exponents in .
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Step 4.5.1
Apply the power rule and multiply exponents, .
Step 4.5.2
Cancel the common factor of .
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Step 4.5.2.1
Factor out of .
Step 4.5.2.2
Cancel the common factor.
Step 4.5.2.3
Rewrite the expression.