Simplify ((2s)/(3s^4))^3

Math
(2s3s4)3
Cancel the common factor of s and s4.
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Factor s out of 2s.
(s⋅23s4)3
Cancel the common factors.
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Factor s out of 3s4.
(s⋅2s(3s3))3
Cancel the common factor.
(s⋅2s(3s3))3
Rewrite the expression.
(23s3)3
(23s3)3
(23s3)3
Use the power rule (ab)n=anbn to distribute the exponent.
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Apply the product rule to 23s3.
23(3s3)3
Apply the product rule to 3s3.
2333(s3)3
2333(s3)3
Raise 2 to the power of 3.
833(s3)3
Simplify the denominator.
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Raise 3 to the power of 3.
827(s3)3
Multiply the exponents in (s3)3.
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Apply the power rule and multiply exponents, (am)n=amn.
827s3⋅3
Multiply 3 by 3.
827s9
827s9
827s9
Simplify ((2s)/(3s^4))^3

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