Date Class
Name
2.1 Independent Practice
FL
8.EE.1.1
my. hrw.
21. Explain why the exponents cannot be added in the product 123. 113.
Why the exponents cannot be added in the product 12 to the power of 2 • 11 to the power of 3

9514 1404 393

  the bases are different

Step-by-step explanation:

It is useful to remember that an exponent signifies repeated multiplication:

  12² = 12×12 . . . . 2 factors of 12

  11³ = 11×11×11 . . . 3 factors of 11

In the product ...

  12² × 11³ = 12×12×11×11×11

there are no factors that are repeated 2+3=5 times. It makes no sense to add any exponents in this product.

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.