Question

Simplify:7^0+(32)^1/5+(27)^2/3+(1/3^6)^-1/3-(16/25)-1/2

Answer 1

Power: 7 ^ 0 = 1

Divide: /(1) =

Power: 32 ^ 15 = 2

Add: +(2) = 2

Power: 27 ^ 23 = 9

Add: 2 + 9 = 11

Power: 13 ^ 6 = 1636 = 1729

Power: 1729 ^ (-1) = 729111 = 7291 = 729

Divide: 729 / 3 = 243

Add: 11 + 243 = 254

Subtract: 254 - 1625 = 2541 - 1625 = 254 · 251 · 25 - 1625 = 635025- 1625 = 6350 - 1625 = 633425
The common denominator you can calculate as the least common multiple of the both denominators - LCM(1, 25) = 25

Subtract: 633425 - 12 = 6334 · 225 · 2 - 1 · 252 · 25 = 1266850 - 2550 = 12668 - 2550 = 1264350
The common denominator you can calculate as the least common multiple of the both denominators - LCM(25, 2) = 50

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