Simplify ( cube root of 6)/( cube root of 4)

Math
6343
Combine 63 and 43 into a single radical.
643
Cancel the common factor of 6 and 4.
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Factor 2 out of 6.
2(3)43
Cancel the common factors.
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Factor 2 out of 4.
2⋅32⋅23
Cancel the common factor.
2⋅32⋅23
Rewrite the expression.
323
323
323
Rewrite 323 as 3323.
3323
Multiply 3323 by 232232.
3323⋅232232
Combine and simplify the denominator.
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Multiply 3323 and 232232.
3323223232
Raise 23 to the power of 1.
33232231232
Use the power rule aman=am+n to combine exponents.
33232231+2
Add 1 and 2.
33232233
Rewrite 233 as 2.
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Use axn=axn to rewrite 23 as 213.
33232(213)3
Apply the power rule and multiply exponents, (am)n=amn.
33232213⋅3
Combine 13 and 3.
33232233
Cancel the common factor of 3.
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Cancel the common factor.
33232233
Divide 1 by 1.
3323221
3323221
Evaluate the exponent.
332322
332322
332322
Simplify the numerator.
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Rewrite 232 as (22)13.
332232
Raise 2 to the power of 2.
33432
33432
Simplify the numerator.
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Combine using the product rule for radicals.
3⋅432
Multiply 3 by 4.
1232
1232
The result can be shown in multiple forms.
Exact Form:
1232
Decimal Form:
1.14471424…
Simplify ( cube root of 6)/( cube root of 4)

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