Question

If 52÷160=13÷2^n×5^m find value of m+n

Answer 1

Answer:

this is the answer of question

Answer 2

The value of m+n is 4.

Step-by-step explanation:

Since we have given that

$52\div160=13\div2^n\times5^m$

We need to find the value of m+n.

According to question, we get that

$\dfrac{52}{160}=\dfrac{13}{2^n\times 5^m}\\\\dfrac{4}{160}=\dfrac{1}{2^n\times 5^m}\\\\\dfrac{1}{40}=\dfrac{1}{2^n\times 5^m}\\\\\dfrac{1}{2^3\times 5}=\dfrac{1}{2^n\times 5^m}$

By equating the values, we get that

n = 3 and m = 1

So, the value of m+n =  1+3 = 4.

Hence, the value of m+n is 4.

# learn more:

If (25)n x (31)n =(1015)n then the value of (13)n x (52)n is when n>0

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