The value of $({(2^{2})}^{2})^{2}$ is:

$2^{6}$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$2^{16}$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$2^{8}$

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

$2^{4}$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C
$2^{8}$

$({(2^{2})}^{2})^{2}$

= ${((2)^{2})}^{2 \times 2}$ ( $∵ (a^{n})^{m} = (a)^{m \times n}$ )

= ${((2)^{2})}^{4}$

= $2^{2 \times 4}$

= $2^{8}$

Suggest Corrections

Similar questions

Calculate the value of the expression using suitable identity $(23^{2} - 22^{2})^{2}$

2222^{5555} + 5555^{2222}

(5555)^{2222} + (2222)^{5555}

Evaluate $\frac{2^{(2^{2})}}{16}$

2^{7777} + 7^{2222}

Join BYJU'S Learning Program