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Simplify (x^2*y^2/a^2*b^3)^n |
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Answer» ANSWER:ANSWER: (i) 3(A4B3)10×5(a2b2)3=3×a40×b30×5×a6×b6=15×a40×a6×b30×b6=15×a40+6×b30+6 [am×an=am+N]=15a46b36 (II) (2x-2y3)3=23×(x-2)3×(y3)3=8×x-6×y9=8x-6y9 (iii) (4×107)(6×10-5) 8×104
= 4×107×6×10-5 8×104
= 24×107+(-5) 8×104
= 24×102 8×104
= 24×102×10-4 8
=3×102+(-4)=3×10-2= 3 100
(iv) 4AB2(-5ab3) 10a2b2
= 4×a×b2×(-5)×a×b3 10a2b2
= -20×a1×a1×b2×b3 10a2b2
= -20×a1+1×b2+3 10a2b2
=-2×a2×b5×a-2×b-2=-2×a2+(-2)×b5+(-2)=-2×a0×b3=-2b3 (v) ( x2y2 a2b3
)n= (x2)n(y2)n (a2)n(b3)n
= x2ny2n a2nb3n
(vi) (a3n-9)6 a2n-4
= a6(3n-9) a2n-4
= a(18n-54) a2n-4
=a(18n-54)×a-(2n-4)=a18n-54×a-2n+4=a18n-54-2n+4=a16n-50 Step-by-step explanation:ANSWER: (i) 3(a4b3)10×5(a2b2)3=3×a40×b30×5×a6×b6=15×a40×a6×b30×b6=15×a40+6×b30+6 [am×an=am+n]=15a46b36 (ii) (2x-2y3)3=23×(x-2)3×(y3)3=8×x-6×y9=8x-6y9 (iii) (4×107)(6×10-5) 8×104
= 4×107×6×10-5 8×104
= 24×107+(-5) 8×104
= 24×102 8×104
= 24×102×10-4 8
=3×102+(-4)=3×10-2= 3 100
(iv) 4ab2(-5ab3) 10a2b2
= 4×a×b2×(-5)×a×b3 10a2b2
= -20×a1×a1×b2×b3 10a2b2
= -20×a1+1×b2+3 10a2b2
=-2×a2×b5×a-2×b-2=-2×a2+(-2)×b5+(-2)=-2×a0×b3=-2b3 (v) ( x2y2 a2b3
)n= (x2)n(y2)n (a2)n(b3)n
= x2ny2n a2nb3n
(vi) (a3n-9)6 a2n-4
= a6(3n-9) a2n-4
= a(18n-54) a2n-4
=a(18n-54)×a-(2n-4)=a18n-54×a-2n+4=a18n-54-2n+4=a16n-50 |
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