Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

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?\newlinep+p+p+p p+p+p+p \newline4p 4 p \newline44\newlinep4 \frac{p}{4} \newlinep4 p^{4}

Full solution

Q. Which expression is equivalent to the expression below?\newlinep+p+p+p p+p+p+p \newline4p 4 p \newline44\newlinep4 \frac{p}{4} \newlinep4 p^{4}
  1. Given Expression: We are given the expression p+p+p+pp+p+p+p, which is a sum of four identical terms (pp).\newlineTo simplify this expression, we can use the distributive property of multiplication over addition, which states that a(b+c+d+...)=ab+ac+ad+...a(b+c+d+...)=ab+ac+ad+....\newlineIn this case, we have four pp's being added together, so we can write this as 44 times pp, or 4p4p.\newlineCalculation: p+p+p+p=4pp+p+p+p = 4p
  2. Simplify Using Distributive Property: Now, we need to check the given options to see which one is equivalent to our simplified expression 4p4p.\newlineOption 11: 4p4p - This is exactly what we have calculated.\newlineOption 22: 44 - This is just a number without the variable pp, so it cannot be equivalent to an expression with pp.\newlineOption 33: p4\frac{p}{4} - This is pp divided by 44, which is not the same as 44 times pp.\newlineOption 44: 4p4p00 - This represents pp raised to the power of 44, which is not the same as 44 times pp.

More problems from Simplify radical expressions with root inside the root