Question

${2}^{x} \times {2}^{ - 8} = {2}^{ - 3}$
find the ×
correct answer
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Answer 1

Answer:

x=5

Step-by-step explanation:

Because

By comparison of Power

x-8=-3

x=8-3

then, x=5

Answer 2

Step-by-step explanation:

$\huge\mathfrak{your \: \: question = }$

${2}^{x} \times {2}^{ - 8} = {2}^{ - 3}$

$\huge\mathfrak{your \: \: answer = }$

${2}^{x + ( - 8)} = {2}^{ - 3}$

[ use the index formula a^x * a^y = a^x+y ]

${2}^{x - 8} = {2}^{ - 3}$

$x - 8 = - 3$

[ cancel 2 from both sides ]

$x = - 3 + 8$

[ subtract ]

$x = 5$

Final answer:

$\huge\mathfrak{5}$