Answer :

Final answer:

To find an equivalent expression for 3^7.869, we can rewrite the exponent using logarithms.

Explanation:

The expression 3^7.869 can be written in another way using logarithms. First, we need to understand that any number raised to the power of 1 is just the number itself. Thus, 3^1 = 3. Now, we can express 7.869 as a fraction by writing it as 7 869/1000. Then, we can use the rule of logarithms that states log(a^b) = b * log(a). Applying this rule, we can rewrite the expression as 3^(7 + 869/1000), which is equivalent to (3^7) * (3^(869/1000)).

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