Question

(5³ X 2³)² ÷ 10⁴ : Simplify.

Answer 1

Answer:

100

Step-by-step explanation:

Given (5^3 x 2^3)^2 / 10^4: Simplify.

We know the law of exponents which states that

(a x b)^m = a^m x b^m

a^m x a^n = a^m + n

a^m / a^n = a^m - n

So the problem is (5³ X 2³)² ÷ 10⁴

So we have (5^3)^2 x (2^3)^2 / 10^4

5^6 x 2^6 / 5^4 x 2^4

5^6 – 4 x 2 ^6 - 4

5 ^2 x 2^2

 25 x 4

 100

Answer 2

Answer:

Answer to the question is 100

Step-by-step explanation:

We need to solve the following expression:

((5^3 * 2^3) ^2) / 10^4

In such type of questions, if the base number is same, then their powers are added or subtracted on the basis of multiplication and division respectively.  

So  (5³ * 2³)² ÷ 10⁴

= (5^3)^2 * (2^3)^2 / 10^4

= 5^6 * 2^6 / 5^4 * 2^4

= 5^6 – 4 * 2 ^6 - 4

= 5 ^2 * 2^2

= 25 x 4

= 100