# What is 2u to the fourth power times v squared all divided by 3u in algebraic notation?

## Question:

What is {eq}2u {/eq} to the fourth power times {eq}v {/eq} squared all divided by {eq}3u {/eq} in algebraic notation?

## Algebraic Notation:

Algebraic notation is another way to say algebraic expression. These are the mathematical translations of words. For example, {eq}+ {/eq} can be described in words as "add", "sum", "together", "increased by".

## Answer and Explanation:

Following the sentence from left to right, translate each part of the sentence into an algebraic expression.

"{eq}2u {/eq} to the forth power" : {eq}~\implies ~~ (2u)^4 {/eq}

"{eq}2u {/eq} to the forth power times {eq}v {/eq} squared": {eq}~\implies ~~ (2u)^4\times v^2 {/eq}

"{eq}2u {/eq} to the forth power times {eq}v {/eq} squared all divided by {eq}3u {/eq}": {eq}~\implies ~~ \frac{(2u)^4\times v^2}{3u} {/eq}

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