Question

(5^3*5^5)^4 /(5*5^9)^3​

Answer 1

(5^8)^4/(5^10)^3= 5^32/5^30= 5^2= 25

Answer 2

To simplify the expression, let's start by using the properties of exponents. When you multiply two powers with the same base, you can add their exponents:

1. 5^3 * 5^5 = 5^(3+5) = 5^8
2. 5 * 5^9 = 5^(1+9) = 5^10

Now, let's rewrite the original expression:

(5^3 * 5^5)^4 / (5 * 5^9)^3

= (5^8)^4 / (5^10)^3

Now, to simplify further, raise the base to the power of 4 and 3, respectively:

= 5^(84) / 5^(103)

= 5^32 / 5^30

When you divide powers with the same base, you subtract the exponents:

= 5^(32-30)

= 5^2

= 25

So, the simplified expression is 25.