What value of k makes the equation true? (5a^2b^3)(6a^kb)=30a^6b^4

k = 4

Step-by-step explanation:

Given:

Exponent law:

Compare the coefficient and power both sides

Exponent must be equal if base is equal.

Thus, 2+k = 6

k = 6 - 2

k = 4

Hence, The vaue of k is 4

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

5050 i think

step-by-step explanation: