Question #205a2

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Question #205a2

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Answer 1 · 2017-11-26T18:04:59

#[(2x^2)^3]^5=32768x^30#

Explanation:

#(x^a)^b=(x^a) * (x^a) * ... * (x^a)# , for b times# = x^(a*b)#

#=>#
#[(2x^2)^3]^5=#
#= [(2x^2) * (2x^2) * (2x^2)]^5 =#
#= [(2^1 * 2^1 *2^1) * (x^2 * x^2 * x^2)]^5 =#
#= [(2^3) * (x^(2*3))]^5 =#
#= [(8) * (x^6)]^5 =#
#= [8x^6]^5#

in the same way of thinking:
#= [8x^6]^5=...=8^5*x^(6*5)=32768x^30#

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Question #205a2

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