Solve THis Using Exponent laws (8^2)^6 PLEASE HELP ME I REALLY NEEDE HELP FAST

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Solve THis Using Exponent laws (8^2)^6 PLEASE HELP ME I REALLY NEEDE HELP FAST

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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\[\Huge 8^{2 \times 6}\]
but doesnt the 8 also get timesde by the six
\[ (8^2)^6 = 8^2 . 8^2 . 8^2 . 8^2 . 8^2 . 8^2 \ \text{ (six times) } \] \[ = 8^{2+2+2+2+2+2} \] \[ = 8^{2 \times 6} \] \[ = 8^{12} \]

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Other answers:

so 8x6 = 48^12
what? Where did that come from?
doesnt the 8 also get multiplyed by 8 or does it stay the same
By definition \( 8^{12} \) means 8 multiplied by itself 12 times \[ 8^{12} = 8 \times 8 \times 8 \times 8 \times 8 \times 8 \times 8 \times 8 \times 8 \times 8 \times 8 \times 8 \] Does that answer your question?
ohhhhhhhhhhhh
In the same way, \( (8^2)^6 \) means \(8^2 \) multiplied by itself 6 times: \[ (8^2)^6 = (8^2) \times (8^2) \times (8^2) \times (8^2) \times (8^2) \times (8^2) \]
That is why the general law is \[ (x^a)^b = x^{ab} \] For your problem then, you can see that we use that law to immediately conclude that \[ (8^2)^6 = 8^{12} \] But you also see from above why that law makes sense and why in this particular case, the result is indeed true.

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