Question

find the value of m if- (625^m/5^6=5^5. ( digit written after^ is exponent)​

Answer 1

Step-by-step explanation:

625^m /5^6 = 5^5

5^4m / 5^6 = 5^5

5^4m = (5^5) (5^6) ( move denomenator to the right

side of = sign)

5^4m = 5^ 11 ( base are same, so add the exponents)

4m = 11 ( base are equal so exponents will be equal

too)

m = 11/4 (Ans)