Question

Find the value of m 8^m ÷ 8^-9 = 8^5

Answer 1

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

Answer 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.