Question 55

What is the value of $$[(a^{-2}b^3) ÷ (a^1b^{-1})] \times [(a^2b^{-4}) \div (a^{-1}b^2)]$$ ?

Solution

Expression : $$[(a^{-2}b^3) ÷ (a^1b^{-1})] \times [(a^2b^{-4}) \div (a^{-1}b^2)]$$

= $$[(a)^{-2-1}\times(b)^{3+1}]\times[(a)^{2+1}\times(b)^{-4-2}]$$

= $$[(a)^{-3}\times(b)^{4}]\times[(a)^{3}\times(b)^{-6}]$$

= $$(a)^{-3+3}\times(b)^{4-6}$$

= $$(a)^{0}\times(b)^{-2}=(b)^{-2}$$

= $$\frac{1}{b^2}$$

=> Ans - (B)

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