Question

Simplify -
625⁴ ÷ 5³
Answer ASAP

Answer 1

Answer:

(625)^4 ÷ (5)^3

= 1.22070313e9

Answer 2

Answer:

Ans : 5^13

Step-by-step explanation:

Now ,in order to equate them you will have to convert their base forms i.e. The degrees respectively should have same numbers as their base .So, we first have to convert 625 in such a way that it matches its counterpart .Going by this :

625 = 25^2

then

625^4 = (25^2)^4 = 25^8 -> (1) <from the rule ,(a^m)^n = a^mn>

And taking (1) into consideration :

25 = 5^2(i.e 25 = 5x5)

so ,

25^8 = (5^2)^8 = 5^16 <from the rule ,(a^m)^n = a^mn>

now equating them we have

5^16/5^3 and this is of the form a^m/a^n which can be written as a^(m-n)

so,on applying the algebraic rule we get

5^(16-3) = 5^(13)

Thank you for reading it with your esteemed patience .