simplify :..........
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216 = 6^3
256 = 4^4
243 = 3^5
Hence, 216^-(2/3) = 6^3^(-2/3) = 6^-2
Similarly, 256^-3/4 = 4^-3
243^-1/5 = 3^-1
3/6^-2 + 2/4^-3 + 2/3^-1 = 3*6^2 + 2*4^3 + 2*3 = 108 + 128 + 6 = 242
Hope this helps
256 = 4^4
243 = 3^5
Hence, 216^-(2/3) = 6^3^(-2/3) = 6^-2
Similarly, 256^-3/4 = 4^-3
243^-1/5 = 3^-1
3/6^-2 + 2/4^-3 + 2/3^-1 = 3*6^2 + 2*4^3 + 2*3 = 108 + 128 + 6 = 242
Hope this helps
Answered by
1
Answer:
Step-by-step explanation:
216 = 6^3
256 = 4^4
243 = 3^5
Hence, 216^-(2/3) = 6^3^(-2/3) = 6^-2
Similarly, 256^-3/4 = 4^-3
243^-1/5 = 3^-1
3/6^-2 + 2/4^-3 + 2/3^-1 = 3*6^2 + 2*4^3 + 2*3 = 108 + 128 + 6 = 242
Hope this help
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