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Simplify the expression. Write your answer as a power.$\left(3.8^3\right)^4$(3.83)4​The simplified expression is .

Question

Simplify the expression. Write your answer as a power.(3.83)4\left(3.8^3\right)^4(3.83)4​The simplified expression is .

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Solution

To simplify the expression (3.83)4\left(3.8^3\right)^4, you need to use the rule of exponents which states that (am)n=amn(a^m)^n = a^{m*n}.

So, (3.83)4=3.834=3.812\left(3.8^3\right)^4 = 3.8^{3*4} = 3.8^{12}.

Therefore, the simplified expression is 3.8123.8^{12}.

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