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Find the equivalent expression using the same bases.

[tex](92 \cdot 47)^4[/tex]

Enter the correct answer.


Sagot :

To solve the expression \((92 \cdot 47)^4\), let's break it down into clear steps:

1. First, calculate the product of the two numbers inside the parentheses:
[tex]\[ 92 \cdot 47 \][/tex]

2. The result of multiplying these two numbers is:
[tex]\[ 92 \cdot 47 = 4324 \][/tex]

3. Now, raise this result to the power of 4:
[tex]\[ (4324)^4 \][/tex]

4. Upon raising \(4324\) to the power of 4, we get:
[tex]\[ (4324)^4 = 349576911544576 \][/tex]

Thus, the combined base \(4324\) and the final result \(349576911544576\) are precisely what you're looking for. The equivalent expression and the full result are:
[tex]\[ (4324)^4 = 349576911544576 \][/tex]

Therefore, the correct answer to the given expression is:
[tex]\[ (4324, 349576911544576) \][/tex]