Basic Math Examples

Simplify (v^(1/2)*y^-2)^(5/4)
Step 1
Rewrite the expression using the negative exponent rule .
Step 2
Combine and .
Step 3
Apply basic rules of exponents.
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Step 3.1
Apply the product rule to .
Step 3.2
Multiply the exponents in .
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Step 3.2.1
Apply the power rule and multiply exponents, .
Step 3.2.2
Multiply .
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Step 3.2.2.1
Multiply by .
Step 3.2.2.2
Multiply by .
Step 3.3
Multiply the exponents in .
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Step 3.3.1
Apply the power rule and multiply exponents, .
Step 3.3.2
Cancel the common factor of .
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Step 3.3.2.1
Factor out of .
Step 3.3.2.2
Cancel the common factor.
Step 3.3.2.3
Rewrite the expression.