Question

find the value of n if 16²ⁿ=4⁴

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Answer 1

Answer:

1(0ne)

Step-by-step explanation:

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Answer 2

Answer:

Correct Question:-

Find the value of n if ${16}^{2n}={4}^{2}$

Required Answer:-

$16 {}^{2n}={4}^{4}$

${:}\longmapsto$${{\cancel {4}}}^{{4}^{2n}}={\cancel {4}}{}^{4}$

${:}\longmapsto$$4 {}^{2n}=4$

${:}\longmapsto$${\cancel {2}} {}^{2 {}^{2n}}={{\cancel {2}}}^{2}$

${:}\longmapsto$$2 {}^{2n}=2$

${:}\longmapsto$${\cancel {2}} {}^{2n}={\cancel {2}} {}^{1}$

${:}\longmapsto$$2n=1$

${:}\dashrightarrow$${\underline{\boxed{\bf {n={\dfrac {1}{2}}}}}}$