What property of Integer exponents is being displayed here: 6³ x 6⁷

You would use the rule

a^b*a^c = a^(b+c)

So in this case,

6^3*6^7 = 6^(3+7) = 6^10

The exponents 3 and 7 add to the final exponent 10. The base stays the same the entire time.

46656

Step-by-step explanation:

216 x 216=46656

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2