Question

If 625×5^m = ( 125 ) ^ 1/3 then find the value of m ?​

Answer 1

Answer:

10 million

1 crore equals 10 million (10,000,000 seven noughts). Therefore, 10,000,000 × 50 = 500,000,000 which is 8 noughts.In the Indian numbering system, a crore is written as 1,00,00,000.

Answer 2

Answer:

Hint 1: Now let us first try to make the L.H.S and R.H.S with the same base.

Step 1: We Know That 5^3=125 and 5^4=625.

Step 2: Hence we get 5^4^(m/n)=5^3

Hint 2: According to Power Rule, any power to another power gets multiplied.

Hence,

(5^4)^(m/n)

=5^4*(m/n)

=5^4(m/n)

Step 3: Now we get 5^4(m/n)=5^3

Hint 3: If the bases are same, the powers can be equated.

Step 4: 4(m/n)=3

This gives us

m/n=3/4.

or

Given that 625^m/n = 125

Convert both bases into the from of base 5

=> (5^4)^m/n = 5^3

=> 5^4m/n = 5^3.

Since bases are same, we get :

4m/n = 3

=>m/n = 3/4

or

625=5*5*5*5=5^4

125=5*5*5=5^3

(625)^(m/n)=(5^4)^(m/n)=5^(4*(m/n))

125=5*3

when bases are equal exponents can be equated

so, 4*(m/n)=3

m/n=3/4

Step-by-step explanation:

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