Algebra Examples

Simplify the Radical Expression (2x^3y^4)^(-2/3)
Step 1
Rewrite the expression using the negative exponent rule .
Step 2
Simplify the denominator.
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Step 2.1
Use the power rule to distribute the exponent.
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Step 2.1.1
Apply the product rule to .
Step 2.1.2
Apply the product rule to .
Step 2.2
Multiply the exponents in .
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Step 2.2.1
Apply the power rule and multiply exponents, .
Step 2.2.2
Cancel the common factor of .
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Step 2.2.2.1
Cancel the common factor.
Step 2.2.2.2
Rewrite the expression.
Step 2.3
Multiply the exponents in .
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Step 2.3.1
Apply the power rule and multiply exponents, .
Step 2.3.2
Multiply .
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Step 2.3.2.1
Combine and .
Step 2.3.2.2
Multiply by .
Step 3
Reorder factors in .