Algebra Examples

Simplify p(p^-7q^3)^-2q^-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 the product rule to .
Step 5
Multiply the exponents in .
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Step 5.1
Apply the power rule and multiply exponents, .
Step 5.2
Multiply by .
Step 6
Multiply the exponents in .
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Step 6.1
Apply the power rule and multiply exponents, .
Step 6.2
Multiply by .
Step 7
Multiply .
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Step 7.1
Combine and .
Step 7.2
Multiply by by adding the exponents.
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Step 7.2.1
Multiply by .
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Step 7.2.1.1
Raise to the power of .
Step 7.2.1.2
Use the power rule to combine exponents.
Step 7.2.2
Add and .
Step 8
Cancel the common factor of .
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Step 8.1
Factor out of .
Step 8.2
Cancel the common factor.
Step 8.3
Rewrite the expression.