Câu hỏi
Introduction tc ((3)/(4))^-2=(-1)/(3)
Giải pháp
4.5
(231 Phiếu)
Cường Thịnh
cựu binh · Hướng dẫn 9 năm
Trả lời
It looks like there might be a misunderstanding in the equation you provided. Let's clarify and solve the expression step by step.The expression given is:
To solve this, we need to understand what raising a fraction to a negative exponent means. A negative exponent indicates the reciprocal of the base raised to the corresponding positive exponent. In other words:
Applying this rule to our expression:
Next, we need to calculate \(\left(\frac{3}{4}\right)^2\):
Now, take the reciprocal of
:
Therefore, the value of \(\left(\frac{3}{4}\right)^{-2}\) is:
This shows that the original equation \(\left(\frac{3}{4}\right)^{-2} = \frac{-1}{3}\) is incorrect. The correct value is
.