Question

solve 2^-3 /(6^-3/2)
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Answer 1

Answer:

54

Step-by-step explanation:

Answer (I) = 2^-3 /(6^-3/2)

= (2/6)^-3 x 2

= (1/3)^-3 x 2

[a^-n = 1/a^n]

= (1/ 1/3^3) x 2

= 3^3 x 2

= 27 x 2

= 54

(OR)

Answer (II) = 2^-3 /(6^-3/2)

[a^-n = 1/a^n]

= [(1/2^3) x 2] / (1/6^3)

= (2/8) ÷ (1/216)

= 216 ÷ (8/2)

= 216/4

= 54

Hence Solved

[METHOD I IS SIMPLER, BUT COMPLEX]

Hope it helped...