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can you simplify the given expression here are the properties needed we can change the exponent from negative to positive by taking the reciprocal of the fraction the given expression is equal to 64 27 raised to the positive 2 3 power and now we apply the exponent to the numerator and denominator and write the numerator and denominator in radical form 64 to the two thirds power is equal to the square of the cube root of 64 and 27 to the two thirds power is equal to the square of the cube root of 27. since 64 is equal to four cubed and 27 is equal to three cubed the Cubit of 64 is four the cube root of 27 is three which gives us a square of four divided by the square of three which equals 16 9. we can verify this on the calculator