+23254 Remove the negative exponent: x^(-2/3) = 1 / x^(2/3)
1 / x^(2/3) = -1/9
Cross multiply: 9 = -x^(2/3)
-9 = x^(2/3) This means the cube root of x squared, so
cube both sides:
(-9) ^3 = x^2
-729 = x^2
If you are restricted to real numbers, this is impossible. However, if you can use complex numbers:
Find the square root of both sides:
x = ±√(-729) = ±27i
+23254 Remove the negative exponent: x^(-2/3) = 1 / x^(2/3)
1 / x^(2/3) = -1/9
Cross multiply: 9 = -x^(2/3)
-9 = x^(2/3) This means the cube root of x squared, so
cube both sides:
(-9) ^3 = x^2
-729 = x^2
If you are restricted to real numbers, this is impossible. However, if you can use complex numbers:
Find the square root of both sides:
x = ±√(-729) = ±27i
