Find the value of m 8^m ÷ 8^-9 = 8^5
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Answered by
4
Answer :
Given that,
8ᵐ ÷ 8⁻⁹ = 8⁵
⇒ 8ᵐ × 8⁹ = 8⁵ [ ∵ 1 ÷ a⁻ᵇ = aᵇ ]
⇒ 8ᵐ⁺⁹ = 8⁵ [ ∵ aᵇ × aᶜ = aᵇ⁺ᶜ ]
Now, comparing among powers, we get
m + 9 = 5
⇒ m = 5 - 9
∴ m = - 4
#MarkAsBrainliest
Given that,
8ᵐ ÷ 8⁻⁹ = 8⁵
⇒ 8ᵐ × 8⁹ = 8⁵ [ ∵ 1 ÷ a⁻ᵇ = aᵇ ]
⇒ 8ᵐ⁺⁹ = 8⁵ [ ∵ aᵇ × aᶜ = aᵇ⁺ᶜ ]
Now, comparing among powers, we get
m + 9 = 5
⇒ m = 5 - 9
∴ m = - 4
#MarkAsBrainliest
Answered by
2
Step-by-step explanation:
Solution: 8^m ÷ 8^-9 = 8^5
=> 8^m+9 = 8^5 [Since, negative exponents should be converted into positive therefore, do the reciprocal so to convert it to positive ]
=> m + 9 = 5 [ remove 8 from both the sides by dividing ]
=> m = 5-9 [ bringing the numbers to one side and variables to one side ]
=> m = -4 [ your result ]
Hence, the answer is -4.
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