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If 
-21a^(6)b is divided 
by-3a^(2)b, the quotient is
(1) 
7a^(4)
(3) 
7a^(3)b
(2) 
-7a^(3)
(4) 
7a^(4)b

If 21a6b -21 a^{6} b is divided by3a2b b y-3 a^{2} b , the quotient is\newline(11) 7a4 7 a^{4} \newline(33) 7a3b 7 a^{3} b \newline(22) 7a3 -7 a^{3} \newline(44) 7a4b 7 a^{4} b

Full solution

Q. If 21a6b -21 a^{6} b is divided by3a2b b y-3 a^{2} b , the quotient is\newline(11) 7a4 7 a^{4} \newline(33) 7a3b 7 a^{3} b \newline(22) 7a3 -7 a^{3} \newline(44) 7a4b 7 a^{4} b
  1. Simplify Expression: Simplify the expression by dividing the terms.\newline21a6b÷3a2b=(21÷3)(a6÷a2)(b÷b)-21a^{6}b \div -3a^{2}b = (-21 \div -3)(a^{6} \div a^{2})(b \div b)\newline=7a4= 7a^{4}
  2. Check Final Result: Check the final result for correctness.\newline7a47a^{4} is the quotient when 21a6b-21a^{6}b is divided by 3a2b-3a^{2}b. The powers of 'a' are subtracted (62=46-2=4), and the 'b's cancel out.

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