Question

Write exponential form for 8×8×8×8 taking base as 2.​

Answer 1

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8×8×8×8

ㅤㅤㅤㅤ= 8⁴

ㅤㅤㅤㅤ= (2x2x2)⁴ (As 8 = 2 × 2 × 2)

ㅤㅤㅤㅤ= (2³)⁴

ㅤㅤㅤㅤUsing (am)n = am × n

ㅤㅤㅤㅤ= 2³x⁴

ㅤㅤㅤㅤ= 2¹²

Answer 2

Given,

$8\times8\times8\times8$

We will write the exponential form for given expression taking base as $2$

We know that

$8=2\times2\times2$

$8=2^{3}$

So substitute $8=2^{3}$

$8\times8\times8\times8=2^{3}\times2^{3}\times2^{3}\times2^{3}$

Formula,

$a^{m}\times a^{n}=a^{m+ n}$

Here, $a= 2,$

$2^{3}\times2^{3}\times2^{3}\times2^{3}=2^{3+3+3+3}$

$= 2^{12}$

Therefore, $2^{12}$ is the exponential form of $8\times8\times8\times8$.