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.

answer:

c. the third graph

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.