Simplify (27) power 2n/3 (8) power -n/6 ÷ (18) power -n/2
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Answer:
Step-by-step explanation:
{27^(2n/3) x 8^(-n/6))} / (18^(-n/2)
= {3^(2n) x 3^(n/2) x 3^(n/2) x 2^(n/2)} / 2^(3n/6) [Using 1/a^-m = a^m] [8 = 2^3]
= {3^(2n) x 3^(n/2) x 3^(n/2) x 2^(n/2)} / 2^(n/2)
= 3^(2n) x 3^(n/2) x 3^(n/2)
= 3^(2n + n/2 + n/2) [Using a^n x a^m = a^(n+m)]
= 3^(2n + n)
= 3^3n
= 27^n
Hope its useful...
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