Evaluate (3^5)^2(3^-4)^5

Math
(35)2(3-4)5
Multiply the exponents in (35)2.
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Apply the power rule and multiply exponents, (am)n=amn.
35⋅2(3-4)5
Multiply 5 by 2.
310(3-4)5
310(3-4)5
Raise 3 to the power of 10.
59049(3-4)5
Multiply the exponents in (3-4)5.
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Apply the power rule and multiply exponents, (am)n=amn.
59049⋅3-4⋅5
Multiply -4 by 5.
59049⋅3-20
59049⋅3-20
Rewrite the expression using the negative exponent rule b-n=1bn.
59049⋅1320
Raise 3 to the power of 20.
59049⋅13486784401
Cancel the common factor of 59049.
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Factor 59049 out of 3486784401.
59049⋅159049(59049)
Cancel the common factor.
59049⋅159049⋅59049
Rewrite the expression.
159049
159049
The result can be shown in multiple forms.
Exact Form:
159049
Decimal Form:
1.69350878⋅10-5
Evaluate (3^5)^2(3^-4)^5

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