-------------------------------- START OF PROGRAM -------------------------------- power(base, exponent) = base ^ exponent. // ideal equivalence -------------------------------- 0.5 ^ -0.5 = 0.70710678118. // mathematically correct equation (according to chatGPT 3.0) 0.5 ^ -0.5 = 1.41421356237. // mathematically correct equation (according to Google) pow(0.5, -0.5) = 1.4142135623730951454746218587388284504413604736328125. power(0.5, -0.5) = 2.028114981647472614412208713474683463573455810546875. -------------------------------- 0.5 ^ 0.5 = 0.70710678118. // mathematically correct equation (according to chatGPT 3.0) 0.5 ^ 0.5 = 0.70710678118. // mathematically correct equation (according to Google) pow(0.5, 0.5) = 0.70710678118654757273731092936941422522068023681640625. power(0.5, 0.5) = 0.70710678118654757273731092936941422522068023681640625. -------------------------------- -0.25 ^ 0.25 = -0.84370052602. // mathematically correct equation (according to chatGPT 3.0) -0.25 ^ 0.25 = -0.70710678118. // mathematically correct equation (according to Google) pow(-0.25, 0.25) = -nan. power(-0.25, 0.25) = -nan. -------------------------------- 0.25 ^ 0.25 = 0.92016449499. // mathematically correct equation (according to chatGPT 3.0) 0.25 ^ 0.25 = 0.70710678118. // mathematically correct equation (according to Google) pow(0.25, 0.25) = 0.70710678118654757273731092936941422522068023681640625. power(0.25, 0.25) = 0.70710678118654757273731092936941422522068023681640625. -------------------------------- 0.5 ^ -1 = 0.5. // mathematically correct equation (according to chatGPT 3.0) 0.5 ^ -1 = 2. // mathematically correct equation (according to Google) pow(0.5, -1) = 2. power(0.5, -1) = 2. -------------------------------- Enter a real number value for base which is no larger than 10 and no smaller than -10: 2 Enter a real number value for exponent which is no larger than 10 and no smaller than -10: 3 result = power(base,exponent) = power(2, 3) = 2 ^ 3 = 8. -------------------------------- Enter a real number value for base which is no larger than 10 and no smaller than -10: 2 Enter a real number value for exponent which is no larger than 10 and no smaller than -10: -3 result = power(base,exponent) = power(2, -3) = 2 ^ -3 = 0.125. -------------------------------- Enter a real number value for base which is no larger than 10 and no smaller than -10: -2 Enter a real number value for exponent which is no larger than 10 and no smaller than -10: 3 result = power(base,exponent) = power(-2, 3) = -2 ^ 3 = -8. -------------------------------- Enter a real number value for base which is no larger than 10 and no smaller than -10: -3 Enter a real number value for exponent which is no larger than 10 and no smaller than -10: -2 result = power(base,exponent) = power(-3, -2) = -3 ^ -2 = 0.111111111111111104943205418749130330979824066162109375. -------------------------------- Enter a real number value for base which is no larger than 10 and no smaller than -10: -2 Enter a real number value for exponent which is no larger than 10 and no smaller than -10: -3 result = power(base,exponent) = power(-2, -3) = -2 ^ -3 = -0.125. -------------------------------- Enter a real number value for base which is no larger than 10 and no smaller than -10: 9 Enter a real number value for exponent which is no larger than 10 and no smaller than -10: 0.5 result = power(base,exponent) = power(9, 0.5) = 9 ^ 0.5 = 3.000000000000000444089209850062616169452667236328125. -------------------------------- Enter a real number value for base which is no larger than 10 and no smaller than -10: -2 Enter a real number value for exponent which is no larger than 10 and no smaller than -10: 4 result = power(base,exponent) = power(-2, 4) = -2 ^ 4 = 16. -------------------------------- Enter a real number value for base which is no larger than 10 and no smaller than -10: 0.5 Enter a real number value for exponent which is no larger than 10 and no smaller than -10: 0.25 result = power(base,exponent) = power(0.5, 0.25) = 0.5 ^ 0.25 = 0.84089641525371450203607537332572974264621734619140625. -------------------------------- Enter a real number value for base which is no larger than 10 and no smaller than -10: -0.5 Enter a real number value for exponent which is no larger than 10 and no smaller than -10: 0.25 result = power(base,exponent) = power(-0.5, 0.25) = -0.5 ^ 0.25 = -nan. -------------------------------- Enter a real number value for base which is no larger than 10 and no smaller than -10: -0.5 Enter a real number value for exponent which is no larger than 10 and no smaller than -10: -2 result = power(base,exponent) = power(-0.5, -2) = -0.5 ^ -2 = 4. -------------------------------- Enter a real number value for base which is no larger than 10 and no smaller than -10: 0.5 Enter a real number value for exponent which is no larger than 10 and no smaller than -10: 2 result = power(base,exponent) = power(0.5, 2) = 0.5 ^ 2 = 0.25. -------------------------------- Enter a real number value for base which is no larger than 10 and no smaller than -10: -0.5 Enter a real number value for exponent which is no larger than 10 and no smaller than -10: -1 result = power(base,exponent) = power(-0.5, -1) = -0.5 ^ -1 = -2. -------------------------------- Enter a real number value for base which is no larger than 10 and no smaller than -10: 3.140000000000000124344978758017532527446746826171875 Enter a real number value for exponent which is no larger than 10 and no smaller than -10: -0.5 result = power(base,exponent) = power(3.140000000000000124344978758017532527446746826171875, -0.5) = 3.140000000000000124344978758017532527446746826171875 ^ -0.5 = 5.88263337571425015681825243518687784671783447265625. -------------------------------- END OF PROGRAM --------------------------------