# Simplify 8/( cube root of 2) 823
Multiply 823 by 232232.
823⋅232232
Combine and simplify the denominator.
Multiply 823 and 232232.
823223232
Raise 23 to the power of 1.
8232231232
Use the power rule aman=am+n to combine exponents.
8232231+2
Add 1 and 2.
8232233
Rewrite 233 as 2.
Use axn=axn to rewrite 23 as 213.
8232(213)3
Apply the power rule and multiply exponents, (am)n=amn.
8232213⋅3
Combine 13 and 3.
8232233
Cancel the common factor of 3.
Cancel the common factor.
8232233
Divide 1 by 1.
823221
823221
Evaluate the exponent.
82322
82322
82322
Cancel the common factor of 8 and 2.
Factor 2 out of 8232.
2(4232)2
Cancel the common factors.
Factor 2 out of 2.
2(4232)2(1)
Cancel the common factor.
2(4232)2⋅1
Rewrite the expression.
42321
Divide 4232 by 1.
4232
4232
4232
Rewrite 232 as (22)13.
4223
Raise 2 to the power of 2.
443
The result can be shown in multiple forms.
Exact Form:
443
Decimal Form:
6.34960420…
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