Factor 2 square root of 2*(4 cube root of 4)

Math
22⋅(443)
Remove unnecessary parentheses.
22⋅443
Combine exponents.
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Multiply 4 by 2.
8243
Rewrite the expression using the least common index of 6.
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Use axn=axn to rewrite 43 as 413.
8(4132)
Rewrite 413 as 426.
8(4262)
Rewrite 426 as 426.
8(4262)
Use axn=axn to rewrite 2 as 212.
8(426⋅212)
Rewrite 212 as 236.
8(426⋅236)
Rewrite 236 as 236.
8(426236)
8(426236)
Combine using the product rule for radicals.
842⋅236
Rewrite 4 as 22.
8(22)2⋅236
Multiply the exponents in (22)2.
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Apply the power rule and multiply exponents, (am)n=amn.
822⋅2⋅236
Multiply 2 by 2.
824⋅236
824⋅236
Use the power rule aman=am+n to combine exponents.
824+36
Add 4 and 3.
8276
8276
The result can be shown in multiple forms.
Exact Form:
8276
Decimal Form:
17.95939277…
Factor 2 square root of 2*(4 cube root of 4)

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