Which of the following is not true ? A) (x-3)2 = x-6B) x-2 = √x C)

1.	Which of the following is not true ? A) (x-3)2 = x-6B) x-2 = √x C) \(\frac{x^{-3}}{x^{-2}} = \frac{1}{x}\)D) X-3 x X-5 = X-8
Answer» Correct option is (B) x^-2 = √x (A) \((x^{-3})^2=(x)^{-3\times2}=x^{-6}\) (True) (B) \(x^{-2}=\frac1{x^2}\neq\sqrt{x}\) (Not true) (C) \(\cfrac{x^{-3}}{x^{-2}}=x^{-3}.(x^{-2})^{-1}\) \(=x^{-3}x^2=x^{-3+2}=x^{-1}=\frac{1}{x}\) (True) (D) \(x^{-3}\times x^{-5}=x^{-3+(-5)}=x^{-3-5}=x^{-8}\) (True) Correct option is B) x^-2 = √x

Which of the following is not true ? A) (x-3)2 = x-6B) x-2 = √x C) \(\frac{x^{-3}}{x^{-2}} = \frac{1}{x}\)D) X-3 x X-5 = X-8

Answer»

Correct option is (B) x^-2 = √x

(A) \((x^{-3})^2=(x)^{-3\times2}=x^{-6}\) (True)

(B) \(x^{-2}=\frac1{x^2}\neq\sqrt{x}\) (Not true)

(D) \(x^{-3}\times x^{-5}=x^{-3+(-5)}=x^{-3-5}=x^{-8}\) (True)

Correct option is B) x^-2 = √x