Question

Find the value of x (2)power 3 ×(-2)power -6 = (2)power 2x-1
Fast I will give you 35
points

Answer 1

Answer:

$\huge\underline{ \underline{ \red{your \: \: answer}}}$

Step-by-step explanation:

$\sf\green{ {2}^{3} \times {( - 2)}^{ - 6} = {2}^{2x + 1} } \\ \sf\red{we \: know \: { a}^{m} + {a}^{n} = {a}^{m + n \: and \: } \frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n} } \\ \sf\green{ = > {2}^{3} = \frac{ {2}^{2x + 1} }{ {2}^{ - 6} } } \\ \sf\green{ = > {2}^{ 3} = {2}^{2x + 1 - (- 6)} } \\ \sf\green{ = > {2}^{3} = {2}^{2x + 7} } \\ \sf\green{ = > 3 = 2x + 7} \\ \sf\green{ = > 10 = 2x} \\ \sf\green{ = > x = \frac{10}{2} } \\ \sf\green{ = > x = 5} \\ \large\boxed{ \fcolorbox{red}{purple}{hope \: it \: help \: you}}$

Answer 2

Answer:

=> 2³ * (-2)^6 = 2^(2x-1)

=> 2³ * 2^6 = 2^(2x-1)

=> 2^9 =2^(2x-1)

=> 9 = 2x-1

=> 2x =10

=> x = 5