Which of the following is correct ? A) am × a-n = am-n B) am bm = a

1.	Which of the following is correct ? A) am × a-n = am-n B) am bm = a(b)m C) a0 = 1, a = 0 ……………. D) (ab)-1 = a-1
Answer» Correct option is (A) a^m × a^-n = a^m-n (A) \(a^m\times a^{-n}=a^{m+(-n)}=a^{m-n}\) (Correct) (B) \(a^m\,b^m=(ab)^m\neq a(b)^m\) (Incorrect) (C) a = 0 then \(a^0=0^0=0\neq1\) (Incorrect) (D) \((ab)^{-1}=a^{-1}b^{-1}\neq a^{-1}\) (Incorrect) A) a^m × a^-n = a^m-n

Which of the following is correct ? A) am × a-n = am-n B) am bm = a(b)m C) a0 = 1, a = 0 ……………. D) (ab)-1 = a-1

Answer»

Correct option is (A) a^m × a^-n = a^m-n

(A) \(a^m\times a^{-n}=a^{m+(-n)}=a^{m-n}\) (Correct)

(B) \(a^m\,b^m=(ab)^m\neq a(b)^m\) (Incorrect)

(D) \((ab)^{-1}=a^{-1}b^{-1}\neq a^{-1}\) (Incorrect)

A) a^m × a^-n = a^m-n