Answer :
Let's simplify the expression [tex]\(5 a^4\)[/tex] step-by-step.
1. Identify the terms: The given expression has two parts: the constant coefficient [tex]\(5\)[/tex] and the variable term [tex]\(a^4\)[/tex].
2. Understand the exponent: The exponent [tex]\(4\)[/tex] means that the variable [tex]\(a\)[/tex] is raised to the power of 4, which can be interpreted as [tex]\(a\)[/tex] multiplied by itself four times. So, [tex]\(a^4\)[/tex] is equivalent to [tex]\(a \times a \times a \times a\)[/tex].
3. Combine the terms: When a constant coefficient is multiplied by a variable term with an exponent, you simply write the coefficient followed by the variable with its exponent. Here, the constant 5 is multiplied by [tex]\(a^4\)[/tex], so you get [tex]\(5 \times a^4\)[/tex] or [tex]\(5a^4\)[/tex].
4. Final expression: The simplified form of the expression is [tex]\(5a^4\)[/tex].
### Summary:
The expression [tex]\(5a^4\)[/tex] is already simplified. It represents a term where 5 is a constant multiplier and [tex]\(a^4\)[/tex] indicates that [tex]\(a\)[/tex] is raised to the fourth power. Thus, the complete expression is [tex]\(5a^4\)[/tex].
No further simplification is needed for [tex]\(5a^4\)[/tex], as it is already in its simplest form.
1. Identify the terms: The given expression has two parts: the constant coefficient [tex]\(5\)[/tex] and the variable term [tex]\(a^4\)[/tex].
2. Understand the exponent: The exponent [tex]\(4\)[/tex] means that the variable [tex]\(a\)[/tex] is raised to the power of 4, which can be interpreted as [tex]\(a\)[/tex] multiplied by itself four times. So, [tex]\(a^4\)[/tex] is equivalent to [tex]\(a \times a \times a \times a\)[/tex].
3. Combine the terms: When a constant coefficient is multiplied by a variable term with an exponent, you simply write the coefficient followed by the variable with its exponent. Here, the constant 5 is multiplied by [tex]\(a^4\)[/tex], so you get [tex]\(5 \times a^4\)[/tex] or [tex]\(5a^4\)[/tex].
4. Final expression: The simplified form of the expression is [tex]\(5a^4\)[/tex].
### Summary:
The expression [tex]\(5a^4\)[/tex] is already simplified. It represents a term where 5 is a constant multiplier and [tex]\(a^4\)[/tex] indicates that [tex]\(a\)[/tex] is raised to the fourth power. Thus, the complete expression is [tex]\(5a^4\)[/tex].
No further simplification is needed for [tex]\(5a^4\)[/tex], as it is already in its simplest form.
