Question

2 power 5 x 2 power k is = to 256​

Answer 1

Answer:

k = 3

Step-by-step explanation:

${2}^{5} \times {2}^{k} = 256 \\ = > {2}^{5} \times {2}^{k} = {2}^{8} \\ = > {2}^{5 + k} = {2}^{8} \\ now..on \: solving \: powers \: we \: get - \\ 5 + k = 8 \\ = > k = 8 - 5 \\ = > k = 3$

hope it helps you...

Answer 2

Answer:

k = 3

Step-by-step explanation:

2⁵ × 2^k = 256

2⁵ × 2^k = 2⁸

2^5+k = 2⁸

5 + k = 8

k = 8-5

k = 3

Note:-

Product Property of Exponent :-

(a)^m × (a)^n

Base is same i.e. a.

a^m+n