Question

${4}^{ - 2} \times {4}^{ - 7} = {2}^{4x + 2}$

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Answer 1

Answer:

$( { {2}^{2} })^{ - 2 } \times ( { {2}^{2} })^{ - 7} = {2}^{4x + 2}$

${2}^{ - 4} \times {2}^{ - 14} = {2}^{4x + 2}$

${2}^{ - 4 - 14} = {2}^{4x + 2}$

${2}^{ - 18} = {2}^{4x + 2}$

therefore

-18= 4x +2

➡ -18-2=4x

➡-20=4x

➡x = -20÷4

➡x= -5