Answer:
see attachment
Step-by-step explanation:
The applicable property of exponents is ...
![\sqrt[n]{x^m}=x^{\frac{m}{n}}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bx%5Em%7D%3Dx%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%7D)
The 4th selection uses this property directly. The 3rd selection uses the property

to show that the cubes of the two expressions are equivalent. Since all the numbers involved are real numbers, this is equivalent to showing the expressions equivalent.
Here’s the problem solved.
Blue: P=4x +2+7x +7+5x-4 --> 16x +9-4=16x +5
Red: P=x+3+2x - 5 + x + 7 --> 4x + 10 - 5 = 4x + 5
Difference between the perimeter:
(16x + 5) - (4x + 5) = 16x + 5 - 4x - 5 = 12x
Perimeter when x = 3
Blue : 16x + 5 ⇒ 16(3) + 5 = 48 + 5 = 53
Red: 4x + 5 ⇒ 4(3) + 5 = 12 + 5 = 17
Answer:
216
Step-by-step explanation:
8x³
Put x as 3 in the expression.
8(3)³
Solve the power.
8(27)
Multiply.
= 216