Asked by krew
hi I need help with this question I think the answer is -16 but I'm not sure, and don't really know how to explain how I got it.
Simplify the following number.
(-64)^2/3
Simplify the following number.
(-64)^2/3
Answers
Answered by
Bosnian
( - 64)⅔ = ∛( - 64 )²
- 64 = ( - 4 ) ∙ ( - 4 ) ∙ ( - 4 ) = ( - 4 )³
( - 64 )² = ( - 4³ )²
Since
( - 4³ )² = ( - 4² )³
( - 64) ⅔ = ∛( - 64 )² = ∛( - 4² )³ = ∛16³ = 16
- 64 = ( - 4 ) ∙ ( - 4 ) ∙ ( - 4 ) = ( - 4 )³
( - 64 )² = ( - 4³ )²
Since
( - 4³ )² = ( - 4² )³
( - 64) ⅔ = ∛( - 64 )² = ∛( - 4² )³ = ∛16³ = 16
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