Algebra Examples

Simplify (8a^-3)^(-2/3)
Step 1
Rewrite the expression using the negative exponent rule .
Step 2
Combine and .
Step 3
Change the sign of the exponent by rewriting the base as its reciprocal.
Step 4
Apply basic rules of exponents.
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Step 4.1
Apply the product rule to .
Step 4.2
Multiply the exponents in .
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Step 4.2.1
Apply the power rule and multiply exponents, .
Step 4.2.2
Cancel the common factor of .
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Step 4.2.2.1
Cancel the common factor.
Step 4.2.2.2
Rewrite the expression.
Step 5
Simplify the denominator.
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Step 5.1
Rewrite as .
Step 5.2
Apply the power rule and multiply exponents, .
Step 5.3
Cancel the common factor of .
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Step 5.3.1
Cancel the common factor.
Step 5.3.2
Rewrite the expression.
Step 5.4
Raise to the power of .