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(9ⁿ+¹)-(9ⁿ)=72
answersheet answer is
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2
Answer:
n=1
Step-by-step explanation:
9^n×9^1-9^n=72
9^n(9-1)=72
9^n=72/8
9^n=9^1
n=1
Answered by
4
Hey Miss
Here's The Answer
---------------------------------------------
Rule :- If bases are in multiplication and are same, power will be added,
for ex : xᵃ × xᵇ = x⁽ ᵃ ⁺ ᵇ ⁾
ATQ
=> ( 9ⁿ⁺¹ ) - ( 9ⁿ ) = 72
We can write 9ⁿ⁺¹ as 9 × 9ⁿ
=> 9 × 9ⁿ - 9ⁿ = 72
taking 9ⁿ common
=> 9ⁿ ( 9 - 1 ) = 72
=> 9ⁿ ( 8 ) = 72
=> 9ⁿ = 72/8
=> 9ⁿ = 9
Comparing powers
=> 9ⁿ = 9¹
=> n = 1 ✓
Hope It Helps ^^
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