Evaluate (81^2*27^3*9^4)/(243^6)

Math
812⋅273⋅942436
Simplify the numerator.
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Rewrite 81 as 34.
(34)2⋅273⋅942436
Multiply the exponents in (34)2.
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Apply the power rule and multiply exponents, (am)n=amn.
34⋅2⋅273⋅942436
Multiply 4 by 2.
38⋅273⋅942436
38⋅273⋅942436
Rewrite 27 as 33.
38⋅(33)3⋅942436
Multiply the exponents in (33)3.
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Apply the power rule and multiply exponents, (am)n=amn.
38⋅33⋅3⋅942436
Multiply 3 by 3.
38⋅39⋅942436
38⋅39⋅942436
Use the power rule aman=am+n to combine exponents.
38+9⋅942436
Add 8 and 9.
317⋅942436
Rewrite 9 as 32.
317⋅(32)42436
Multiply the exponents in (32)4.
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Apply the power rule and multiply exponents, (am)n=amn.
317⋅32⋅42436
Multiply 2 by 4.
317⋅382436
317⋅382436
Use the power rule aman=am+n to combine exponents.
317+82436
Add 17 and 8.
3252436
3252436
Reduce the expression by cancelling the common factors.
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Raise 243 to the power of 6.
325205891132094649
Raise 3 to the power of 25.
847288609443205891132094649
Cancel the common factor of 847288609443 and 205891132094649.
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Factor 847288609443 out of 847288609443.
847288609443(1)205891132094649
Cancel the common factors.
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Factor 847288609443 out of 205891132094649.
847288609443⋅1847288609443⋅243
Cancel the common factor.
847288609443⋅1847288609443⋅243
Rewrite the expression.
1243
1243
1243
1243
The result can be shown in multiple forms.
Exact Form:
1243
Decimal Form:
0.00411522…
Evaluate (81^2*27^3*9^4)/(243^6)

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