Evaluate ( cube root of 4)/( cube root of 6)*( cube root of 36)/( cube root of 36)

4363⋅363363
Combine 43 and 63 into a single radical.
463⋅363363
Cancel the common factor of 4 and 6.
Factor 2 out of 4.
2(2)63⋅363363
Cancel the common factors.
Factor 2 out of 6.
2⋅22⋅33⋅363363
Cancel the common factor.
2⋅22⋅33⋅363363
Rewrite the expression.
233⋅363363
233⋅363363
233⋅363363
Rewrite 233 as 2333.
2333⋅363363
Multiply 2333 by 332332.
2333⋅332332⋅363363
Combine and simplify the denominator.
Multiply 2333 and 332332.
2333233332⋅363363
Raise 33 to the power of 1.
23332331332⋅363363
Use the power rule aman=am+n to combine exponents.
23332331+2⋅363363
23332333⋅363363
Rewrite 333 as 3.
Use axn=axn to rewrite 33 as 313.
23332(313)3⋅363363
Apply the power rule and multiply exponents, (am)n=amn.
23332313⋅3⋅363363
Combine 13 and 3.
23332333⋅363363
Cancel the common factor of 3.
Cancel the common factor.
23332333⋅363363
Divide 1 by 1.
2333231⋅363363
2333231⋅363363
Evaluate the exponent.
233323⋅363363
233323⋅363363
233323⋅363363
Simplify the numerator.
Rewrite 332 as (32)13.
233233⋅363363
Raise 3 to the power of 2.
23933⋅363363
23933⋅363363
Simplify the numerator.
Combine using the product rule for radicals.
2⋅933⋅363363
Multiply 2 by 9.
1833⋅363363
1833⋅363363
Reduce the expression by cancelling the common factors.
Cancel the common factor of 363.
Cancel the common factor.
1833⋅363363
Divide 1 by 1.
1833⋅1
1833⋅1
Multiply 1833 by 1.
1833
1833
The result can be shown in multiple forms.
Exact Form:
1833
Decimal Form:
0.87358046…
Evaluate ( cube root of 4)/( cube root of 6)*( cube root of 36)/( cube root of 36)