Question

How to find the value of m ?

Answer 1

m value is 3 by using formulas of laws of exponents

Answer 2

$\huge\underline\mathfrak{Answer-}$

The value of m is 13/3.

$\huge\underline\mathfrak{Explanation-}$

★ 32 = 2×2×2×2×2

=> ${2}^{5}$

★ 16 = 2×2×2×2

=> (2)⁴

★ 8 = 2×2×2

=> (2)³

____________________

We can write it as :

( ${2}^{5}$ }² + {(2)⁴}⁴ = {(2)³}^2m

So, 2¹° + 2^16 = 2^6m

Since bases are are therefore, powers must be equal.

10 + 16 = 6m

26 = 6m

m = 26/6

m = 13/3