Using the properties of integer exponents match each expression with its equivalent expression

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Video transcript

- Which expressions are equivalent to x plus two-y plus x plus two? Select all that apply. Alright. Let's see if I can manipulate this thing a little bit. Let me just rewrite it so I have x plus... x plus two-y plus x plus two. So, the first thing that jumps out at me, before I even look at these choices, here I have an x over here, I have an x over there. Well, if I have one x, and then I can add it to another x that would be two-x so I could rewrite this... let me do this in a different color. I could rewrite this x and this x, if I add them together that's going to be two-x. So, this is...actually, I don't want to skip any steps. So, that's x plus x plus two-y... now I'm just switching the order...plus two. And then these two x's right over here, I can just rewrite that as two-x. So, I have two-x plus two-y... plus two-y plus two. Now, let's see, out of all my choices... so, this one, this is two-x plus four-y plus four. So, that's not right, I have two-x plus two-y plus 2, so I can rule this one out. Now, this one's interesting, it looks like they have factored out a two. Let's see if we factor out a two here, what happens? So, we do see that two is a factor of that term, it's a factor of that term, and it's a factor of that term. So, let's see if we can factor it out. So, this is going to be two times x, I'll do the x in that same magenta color, two times x plus, we have just a y left when you factor out the two. And then if you factor out a two here, you're just going to have a one left. So, two times x plus y plus one. Which is exactly what they have over here. And since I was able to find a choice, I will not pick "None of the above".

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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Using the properties of integer exponents, match each expression with its equivalent expression. - 1/125 1 -1 -125 1/125 5-3 -5-3 -5-3-1 4 ° -5-30

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Gauthmathier0453

Grade 11 · 2021-06-15

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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Using the properties of integer exponents, match each expression with its equivalent expression. Drag the tiles to the correct boxes to complete th - Gauthmath 1 -1 -125 \frac {1}{125} 5^{-3} -5-3 (-5^{-3})^{-1} 4^{\circ } (-5^{-3})^{0}

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