Question

$8( {4}^{2}) + {2}^{4}$
What's the answer to that, and is it equal to:
${12}^{2}$
(Asking again because the last one helped, but didnt really.)
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Answer 1

The given expression $8(4)^2+2^4$ is equal to 144 or $12^2$

Solution:

Given expression is:

$8(4)^2+2^4$

We have to evaluate the above given expression

We know that,

$(4)^2 = 4 \times 4 = 16$

$2^4 = 2 \times 2 \times 2 \times 2=16$

Substituting these in above given expression, we get

$8(4)^2+2^4=8 \times 16+16\\\\8(4)^2+2^4= 128+16\\\\8(4)^2+2^4=144$

Also we know that,

$12 \times 12 = 144$

Therefore,

$8(4)^2+2^4=144 = 12 \times 12 = 12^2$

Thus the given expression $8(4)^2+2^4$ is equal to 144 or $12^2$