Question

Find :
$( {3}^{0} + {4}^{ - 6} ) \times {2}^{2}$
​

Answer 1

4.00087.... is the correct answer

coz.

3^0=1

4^-6=1/4096

2^2=4

Answer 2

Answer:

$\red {( {3}^{0} + {4}^{ - 6} ) \times {2}^{2}}$

$\green {= \frac{4097}{1024}}$

Step-by-step explanation:

$( {3}^{0} + {4}^{ - 6} ) \times {2}^{2}$

$= ( 1 + 4^{-6}) \times 4$

$\boxed { \pink { a^{0} = 1 }}$

$= 4+ 4^{-6} \times 4$

$= 4 + 4^{-5}$

$= 4 + \frac{1}{4^{5}}\\= 4 + \frac{1}{1024}\\= \frac{ 4096 + 1}{1024}\\= \frac{4097}{1024}$

Therefore.,

$\red {( {3}^{0} + {4}^{ - 6} ) \times {2}^{2}}$

$\green {= \frac{4097}{1024}}$

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