Algebra Examples

Simplify ((3x^2y^3)^2)^2(x^3yz^5)^3
Step 1
Multiply the exponents in .
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Step 1.1
Apply the power rule and multiply exponents, .
Step 1.2
Multiply by .
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 3
Raise to the power of .
Step 4
Multiply the exponents in .
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Step 4.1
Apply the power rule and multiply exponents, .
Step 4.2
Multiply by .
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
Use the power rule to distribute the exponent.
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Step 6.1
Apply the product rule to .
Step 6.2
Apply the product rule to .
Step 7
Multiply by by adding the exponents.
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Step 7.1
Move .
Step 7.2
Use the power rule to combine exponents.
Step 7.3
Add and .
Step 8
Multiply the exponents in .
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Step 8.1
Apply the power rule and multiply exponents, .
Step 8.2
Multiply by .
Step 9
Multiply by by adding the exponents.
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Step 9.1
Move .
Step 9.2
Use the power rule to combine exponents.
Step 9.3
Add and .
Step 10
Multiply the exponents in .
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Step 10.1
Apply the power rule and multiply exponents, .
Step 10.2
Multiply by .