Answer:
No, his value of (negative 4) squared should be positive because an even exponent indicates a positive value.
Step-by-step explanation:
The expression is not well written. The expression is written as;
(xy^-2)/(3x²y^-4)
According to indices;
a^m ÷ a^n = a^{m-n}
Applying this to solve the question
1/3(x^{1-2})/(y^-2÷y^-4)
= 1/3(x^{-1})(y^{-2+4})
= 1/3(1/x)y²
= 1/(3x) × y²
Substituting x = 3 and y = -4
= 1/3(1/3)×(-4)²
= 1/9(16)
= 16/9
Imothy solution is incorrect.
According to Imothy solution, his value of (negative 4) squared should be positive because an even exponent indicates a positive value.
