Question

root 2 cube × root 2 four × eoot 32 twelve
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Answer 1

Answer:

product of cube root of 2 , fourth

root of 2 and twelfth root of 32

= 2^1/3 × 2^1/4 × 32^12

= 2^1/3 × 2^1/4 × ( 2^5 )^12

= 2^1/3 × 2^1/4 × 2^5/12

= 2^(1/3+1/4+5/12)

[ We know exponential rule <,

a^m × a^n = a^m+n ]

= 2^ [ (4 + 3 + 5 )/12 ]

= 2^(12/12)

= 2¹

= 2

Step-by-step explanation:

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