Question

2⁵ X (2³)² ÷ 2¹⁰ : Find the value.

Answer 1

Answer:

2

Step-by-step explanation:

Given 2^5 x (2^3)^2 / 2^10: 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 2^5 x (2^3)^2 / 2^10

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

2^5 x 2^6 /  2^10

2^5 + 6 / 2 ^10

2^ 11 / 2^10

 2^11 - 10

 2^1

2

So after simplifying we get 2

Answer 2

Answer:

The Answer is 2

Step by Step Explanation:  

Given this equation, 2^5 x (2^3)^2 / 2^10, we need to find the solution. So here is the step by step explanation  

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

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.  

= (2^5) * (2^6) / (2^10)  

= (2^5 + 6) / (2 ^10)  

= (2^ 11) / (2^10)  

= (2^11 – 10)  

= 2^1  

= 2