Maths-
General
Easy
Question
Find the value of m for which 5m / 5-3 = 55.
Hint:
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: Value of m for the given equation is 2.
Step-by-step solution:-
5m / 5-3 = 55
∴ 5m-(-3) = 55 …...................................................... (an / am = an-m)
∴ 5m+3 = 55
∴ m+3 = 5 …......................................................... (Exponents of the same base in an equation are equal)
∴ m = 5 - 3
∴ m = 2
Final Answer:-
∴ Value of m for the given equation is 2.
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