Question
\( \times 3\left(m^{x}\right)^{4}+5 \) What is the coefficient in the expression?
Ask by Moreno Chambers. in the United States
Mar 16,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The coefficient in the expression is 3.
Solution
1. Write the expression in standard form:
\[
3\left(m^{x}\right)^4 + 5
\]
2. Simplify the exponent term:
\[
\left(m^{x}\right)^4 = m^{4x}
\]
So the expression becomes:
\[
3m^{4x} + 5
\]
3. The coefficient is the numerical factor multiplying the variable term. In the term \(3m^{4x}\), the coefficient is \(3\).
Thus, the coefficient in the expression is \(3\).
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Simplify this solution Beyond the Answer
To find the coefficient in the expression \( \times 3(m^{x})^{4}+5 \), we first rewrite it as \( 3m^{4x} + 5 \). The coefficient of \( m^{4x} \) is 3, and the term "+5" is a constant term. So, in this case, the coefficient of the main term is 3. Now, don’t forget the value of the constant term, which is 5. Together, they create a dynamic duo in mathematical expressions!
