Problem with a problem

I saw a problem that showed an equation that showed 8 being multiplied by itself and underneath the 8s was a notation that it was being done 128 times. The other side of the equation sowed 2 being multiplied by itself and underneath it was a notation that said it was being done N times. The solution to the problem said the answer was 2 to the 10th power because 8 is 2 to the third power multiplied by 128 which is 2 to the 7 power so N must be 10. That is not how the problem was displayed. The left side of the equation was 8 to the 128th power and the right side was 2 to the Nth power so the correct solution to the problem is 2 to the third power (8) to the 128th power which is 2 to the 3rd power to the 128th power which is, by multiplying exponents, is 2 to the 384th power not 2 to the tenth power.

Note by David Hardwick
1 year, 8 months ago

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I see that Pi Han has replied to you.

In future, if you spot an error with a problem, you can select "Report Problem" from the menu. This allows the creator to respond to you accordingly.

Brilliant Mathematics Staff - 1 year, 8 months ago

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If you're referring to my problem, then you have misinterpreted my question.

The left hand side consists of all \(+\) only, not \(\times\).

If however the left hand side consists of all \(\times\) only, then yes, 384 is the correct answer.

Pi Han Goh - 1 year, 8 months ago

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