2⁶ X 2² X 2⁵ ÷ 8³ : Simplify.
Answers
Answer:
2⁶ X 2² X 2⁵ ÷ 8³ = 16
Step-by-step explanation:
2⁶ X 2² X 2⁵ ÷ 8³ : Simplify.
Few concepts to be used for such question
aᵇ * aⁿ = aᵇ⁺ⁿ
aᵇ / aᵇ = aᵇ⁻ⁿ
ᵃ⁻ⁿ = 1/aⁿ
2⁶ X 2² X 2⁵ ÷ 8³
= 2⁶⁺²⁺⁵ ÷ 8³
= 2¹³ ÷ 8³
8 = 2³
= 2¹³ ÷ (2³)³
= 2¹³ ÷ 2³⁺³⁺³
= 2¹³ ÷ 2⁹
= 2¹³⁻⁹
= 2⁴
= 16
2⁶ X 2² X 2⁵ ÷ 8³ = 16
Answer:
The question is to solve this expression:
The answer to the question is: (2⁶ * 2² * 2⁵) ÷ 8³ = 16
Step by Step Explanation:
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.
(2⁶ * 2² * 2⁵) ÷ 8³
= (2⁶⁺²⁺⁵) ÷ 8³
= 2¹³ ÷ 8³
Now we have to make the base numbers same in order to add or subtract their powers. So in this case, 8 can be written in the following manner:
8 = 2³
So remaining calculations are as follows:
= 2¹³ ÷ (2³)³
= 2¹³ ÷ 2³⁺³⁺³
= 2¹³ ÷ 2⁹
= 2¹³⁻⁹
= 2⁴
= 16