(3⁴)² ÷ [3⁴ X 3⁵] : Evaluate.
Answers
Answered by
7
Answer:
(3⁴)² ÷ [3⁴ X 3⁵] = 1/3
Step-by-step explanation:
(3⁴)² ÷ [3⁴ X 3⁵] : Evaluate
Few concepts to be used for such question
aᵇ * aⁿ = aᵇ⁺ⁿ
aᵇ / aᵇ = aᵇ⁻ⁿ
ᵃ⁻ⁿ = 1/aⁿ
aⁿ * bⁿ = (ab)ⁿ
aⁿ / bⁿ = (a/b)ⁿ
(aᵇ)ⁿ = aᵇⁿ
(3⁴)² ÷ [3⁴ X 3⁵]
= 3⁴ˣ² ÷ [3⁴⁺⁵]
= 3⁸ ÷ 3⁹
=3⁸⁻⁹
= 3⁻¹
= 1/3¹
= 1/3
(3⁴)² ÷ [3⁴ X 3⁵] = 1/3
Answered by
5
Answer:
The answer to the question is :
(3⁴)² ÷ (3⁴ X 3⁵) = 1/3
Step-by-step explanation:
We need to simplify the following:
(3⁴)² ÷ (3⁴ * 3⁵)
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,
(3⁴)² ÷ (3⁴ * 3⁵)
= 3⁴*² ÷ (3⁴⁺⁵)
= 3⁸ ÷ 3⁹
=3⁸⁻⁹
= 3⁻¹
= 1/3¹
= 1/3
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