The expression (a3)2 can be simplified as shown here: (a3)2 = (a3)(a3) = (a · a · a)(a · a · a) = a6 write out in words how you would explain each step of this process to a friend. why is each step equal to the previous step? using a similar reasoning, explain why (a2)3= a6.

1 step: if you have to square some number, then you have to multiply this number by itself:

2 step: to find the cube of a number you should multiply this number two times by itself:

3 step: multiplying a by itself 5 times you get the 6th power of a:

Similar way to count is:

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it