Simplify the problem
4^3 and 2^6

1. LCM of 15x^7 and 45x^7

2. Marla can shovel the driveway in 60min and Bill can do it in 45min how long would it take them to do the job together?

3. Divide and simplify:

x^2-4/x divided by x+2/x+8

4. add and simplify:

5/49z^3 + 1/35z^2

5. simplify by removing factors of 1

y^2-5y+6/y^2+3y-18

6. divide and simplify:

h+1/h-3 divided by 6h+6/h-1(simplify answer)

7. add and simplify:

5/v-9 + 5/v+9

Four to the power of three is 1024

And 2 to the power of 6 is 128

Step-by-step explanation:

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12