The expressionย (4๐ฅ13๐ฆโ1)32(๐ฅ๐ฆ)52 can be written in the form ๐ร๐ฅ๐ร๐ฆ๐, where ๐,๐,๐ are integers. What is ๐+๐+๐ ? (Give only the numberย as your answer.)
Question
The expression can be written in the form , where are integers. What is ? (Give only the number as your answer.)
Solution
To solve the expression and express it in the form , we will follow these steps:
1. Break Down the Problem
We need to simplify the expression by applying the exponentiation rules to both parts of the expression and then combine them.
2. Relevant Concepts
- When raising a power to another power, we multiply the exponents: .
- For multiplication of bases with the same exponent, we add the exponents: .
3. Analysis and Detail
Let's break down the expression step-by-step.
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Simplify : Calculate the exponents:
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Simplify :
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Combine the two results: Combine the and terms:
4. Verify and Summarize
Here, we found:
Next, we need to find : Since is a very large number, it is sufficient to evaluate it as is.
Thus, the answer (adding the integers correctly) is that will evaluate as follows:
Final Answer
Note that is not typically calculated in simple terms here due to its size in this context; the problem intends for where is understood as a large integer representation.
So the final answer is:
Similar Questions
๐๐ข๐๐๐๐ ๐ย ๐กโ๐๐กย ๐กโ๐ย ๐โ๐๐๐๐๐ก๐๐๐๐ ๐ก๐๐ย ๐๐๐๐ฆ๐๐๐๐๐๐ย ๐๐ย ๐ ๐๐๐ย ๐๐๐ก๐๐๐ฅย ๐ดย ๐๐ ย ๐๐๐ข๐๐ย ๐ก๐ย ๐๐ย ๐(๐)ย =ย (๐ย -ย 1)๐ย -32ย ย ๐ย -43ย ย .ย ๐โ๐๐กย ๐๐ ย ๐กโ๐ย ๐ ๐๐ง๐ย ๐๐ย ๐ด?
The expressionย (4๐ฅ13๐ฆโ1)32(๐ฅ๐ฆ)52 can be written in the form ๐ร๐ฅ๐ร๐ฆ๐, where ๐,๐,๐ are integers. What is ๐+๐+๐ ? (Give only the numberย as your answer.)
A number ๐๐ is tripled and then 44 is added. This result is halved to obtain โ13โ13.
If a number is as much greater than 31 as it is less than 75, then the number isOptions106745344
A number being divided by 52 gives remainder 45. If the number is divided by 13, the remainder will beOptions51276
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