Question

. Find the value of x
${2}^{x} \div {2}^{ - 4} = {4}^{5}$
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Answer 1

Step-by-step explanation:

$2 ^{x} \div 2 {}^{ - 4} = 4 ^{5} \\ 2^{x} \times 2 {}^{4} = (2 {}^{2} ) {}^{5 } \\ 2 {}^{x} = 2 {}^{10} \div 2 {}^{4} \\ 2 {}^{x} = 2 {}^{6} \\ equal \: base \: imply \: equal\: power \\ x = 6$