Question

find the value of x if (5^2)^3*5^x/5^7 = 5^3

Answer 1

Answer:

x= 4

Step-by-step explanation:

Laws of exponents applied in this =

1) $(a^m)^n = a^{m*n}$

2) $a^m / a^n = a^{m-n$

3) $a^m * a^n =a ^{m+n$

Now, applying the laws of exponents we get :-

$(5^{2})^{3} * 5^x / 5^7 = 5^3\\5^6 * 5^{x-7} = 5^3\\5^{x-1} = 5^3$    

Only exponent part =

x- 1 =3

x=1+3

x=4