# Evaluate cube root of 11/64-( cube root of 11)/9 11643-1139
Simplify each term.
Rewrite 11643 as 113643.
113643-1139
Simplify the denominator.
Rewrite 64 as 43.
113433-1139
Pull terms out from under the radical, assuming real numbers.
1134-1139
1134-1139
1134-1139
To write 1134 as a fraction with a common denominator, multiply by 99.
1134⋅99-1139
To write -1139 as a fraction with a common denominator, multiply by 44.
1134⋅99-1139⋅44
Write each expression with a common denominator of 36, by multiplying each by an appropriate factor of 1.
Multiply 1134 and 99.
113⋅94⋅9-1139⋅44
Multiply 4 by 9.
113⋅936-1139⋅44
Multiply 1139 and 44.
113⋅936-113⋅49⋅4
Multiply 9 by 4.
113⋅936-113⋅436
113⋅936-113⋅436
Combine the numerators over the common denominator.
113⋅9-113⋅436
Simplify the numerator.
Move 9 to the left of 113.
9⋅113-113⋅436
Multiply 4 by -1.
9113-411336
Subtract 4113 from 9113.
511336
511336
The result can be shown in multiple forms.
Exact Form:
511336
Decimal Form:
0.30888612…
Evaluate cube root of 11/64-( cube root of 11)/9

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