simplify (2^-1 * 3^2/ 2^2 * 3^-4)^7/2 * (2^-2 * 3^3/ 2^3 * 3^-5)^-5/2 - Maths - Number Systems

Question

simplify (2^-1 * 3^2/ 2^2 * 3^-4)^7/2 * (2^-2 * 3^3/ 2^3 *
3^-5)^-5/2

Rishabh Mittal · Accepted Answer

Dear Student ,

Please find below the solution to the asked query :

2-1 × 3222 × 3-472 × 2-2 × 3323 ×3-5-52=32--422--1 72 ×  33--523--2-52        Since aman=am-n=362372 × 3825-52=362372 × 253852          Since a-m=1am=36×72×25×5223×72×38×52=321 × 22522212 × 320=321-20 × 2252-212=31 × 225-212=3 × 22=3×4=12   ANS
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