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Evaluate each of the following : (i)2...

Evaluate each of the following :
`(i)2^(3)xx2^(2)" "(ii)3^(5)divide3^(2)" "(iii)(5^(2))^(3)" "(iv)((3)/(4))^(3)" "(v)((2)/(3))^(-3)" "(vi)2^(4)xx2^(-4)`

Text Solution

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The correct Answer is:
N/a
(i) `2^(3)xx2^(2)=2^(3+2)=2^(5)=2xx2xx2xx2xx2=32`
(ii) `3^(5)divide3^(2)=3^(5-2)=3^(3)=3xx3xx3=27`
(iii) `(5^(2))^(3)=5^(2xx3)=5^(6)=5xx5xx5xx5xx5xx5=15625`
(iv) `((3)/(4))^(3)=(3)/(4)xx(3)/(4)xx(3)/(4)=(27)/(64)`
(v) `((2)/3)^(-3)=(1)/(((2)/(3))^(3))=((3)/(2))^(3)=(3)/(2)xx(3)/(2)xx(3)/(2)=(27)/(8)`
(vi) `2^(4)xx2^(-4)=2^(4+(-4))=2^(0)=1`
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