Question

Simplify: $\frac{(5^{-3})^2 \times 3^4}{(3^{-2})^{-3} \times (5^3)^{-2}}$

Answer 1

Solution:

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We know the Exponential laws :

i ) ( a^m )ⁿ = a^mn

ii ) a^m/a^n = 1/a^n-m

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Now ,

[ ( 5^-3 )² × 3⁴ ]/[ (3^-2)^-3 × ( 5³ )^-2 ]

= [ 5^-6 × 3⁴ ]/ [ 3^6 × 5^-6 ]

= 3⁴/3^6

= 1/3^6-2

= 1/3²

= 1/9

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Answer 2

hope this helps.............