Question

8^-2 is a power with base 8. Express it with base 2 and positive exponent

Answer 1

Answer:

1/2^6

Step-by-step explanation:

64 = 2*2*2*2*2*2

= 1/2^5

Answer 2

Given:

$\[{8^{ - 2}}\]$ is a power with base 8.

To Express: It with base 2 and positive exponent

Solution:

Know that $\[8 = {2^3}\]$

Therefore,

$\[ = {\left( {{2^3}} \right)^{ - 2}}\]$

$\[ = \frac{1}{{{2^{3 \times 2}}}}\]$

$\[ = \frac{1}{{{2^6}}}\]$

$\[ = {2^{ - 6}}\]$

Hence, $\[{8^{ - 2}}\]$ can be express with base 2  as $\[ = {2^{ - 6}}\]$.