Question

Simplify : (a^2)^6 * (a^3)^8 * (a^6)^5
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Answer 1

QUESTION

$\sf\red{Simplify \: (a^2)^6 × (a^3)^8 × (a^6)^5 }$

ANSWER

$\huge\sf\pink{=>a^{66} }$

EXPLANATION

$\sf\blue{=> (a^2)^6 × (a^3)^8 × (a^6)^5 }$

Rule -: $\sf\purple{(x^t)^z => x^{t×z} }$

$\sf\green{=> a^{2×6} × a^{3×8} × a^{6×5}}$

$\sf\orange{=> a^{12} × a^{24} × a^{30} }$

Rule-: If bases are same power will be added

$\sf\red{=> a^ {12+24+30}}$

$\huge\sf\pink{=>a^{66} }$