EXPS 1 | Lesson 1 | Try This! (Expanding) Solutions

  1. \(3^2 ~; ~9\)
  2. \(5^3~ ; ~ 125\)
  3. \(2^5~ ;~ 32\)
  4. \(2^2\cdot3^3~ ; ~108\)
  5. \(\bigg(\dfrac12\bigg)^3=\dfrac18\)
  6. \(9x^4\)
  7. The perimeter is \(3+3+3+3\) or \(4\cdot3=12\). The area is \(3\cdot3\) or \(3^2=9\). For perimeter you add four “3’s” or multiply 3 by 4, and for area, you multiply “3” by itself or square 3.
  8. \(5\cdot 2x\) or \(10x\)\((2x)^5\)  or  \(32x^5\) 
  9. \((-2)^3=(-2)\cdot (-2)\cdot (-2)=-8\) and \(3(-2)=(-2)+(-2)+(-2)=-6\)

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