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Which expression is equivalent to the expression below?

p+p+p+p

4p
4

(p)/(4)

p^(4)

Which expression is equivalent to the expression below? $\newline$ $p+p+p+p$ $\newline$ $4 p$ $\newline$ $4$ $\newline$ $\frac{p}{4}$ $\newline$ $p^{4}$

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Simplify radical expressions with root inside the root

Full solution

Q. Which expression is equivalent to the expression below?

\newline

p+p+p+p

\newline

4 p

\newline

4

\newline

\frac{p}{4}

\newline

p^{4}

Given Expression: We are given the expression $p+p+p+p$ , which is a sum of four identical terms ( $p$ ). $\newline$ To simplify this expression, we can use the distributive property of multiplication over addition, which states that $a(b+c+d+...)=ab+ac+ad+...$ . $\newline$ In this case, we have four $p$ 's being added together, so we can write this as $4$ times $p$ , or $4p$ . $\newline$ Calculation: $p+p+p+p = 4p$
Simplify Using Distributive Property: Now, we need to check the given options to see which one is equivalent to our simplified expression $4p$ . $\newline$ Option $1$ : $4p$ - This is exactly what we have calculated. $\newline$ Option $2$ : $4$ - This is just a number without the variable $p$ , so it cannot be equivalent to an expression with $p$ . $\newline$ Option $3$ : $\frac{p}{4}$ - This is $p$ divided by $4$ , which is not the same as $4$ times $p$ . $\newline$ Option $4$ : $4p$ $0$ - This represents $p$ raised to the power of $4$ , which is not the same as $4$ times $p$ .

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