Maths-
General
Easy

Question

Evaluate:
a−3b−4 / a−2b−3

hintHint:

In Mathematics, lets say, "a" represents a number and "n" is the number of times that number is to be multiplied with itself, in order to get a desired result. Then, such result can be written as an, where a is called the base and n is its power/ exponent.
an = a × a × ... × a                                n times.

The correct answer is: Simplifying the given expression, we get the value 1/ab.


    Step-by-step solution:-
    a−3b−4 / a−2 b−3
    = a-3-(-2) × b-4-(-3) ….......................................................... (an/am = an-m)
    = a-3+2 × b-4+3
    = a-1 × b-1
    = 1/a × 1/b …................................................................ (b-n = 1/bn)
    = 1/ab
    Final Answer:-
    ∴ Simplifying the given expression, we get the value 1/ab.

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