audio read-through Writing Quite Complicated Expressions in the Form $kx^n$

Want some very basic practice first?  Writing Expressions in the Form $\,kx^n\,$

Here's some medium-difficulty practice:  Writing More Complicated Expressions in the Form $\,kx^n\,$

Examples

Question: Write $\,-(3x)(-x)^4\,$ in the form $\,kx^n\,.$

Solution: $\,-3x^5\,$

Why? Keep reading!

Here's the strategy:

Question: Write $\,(-1)^2(-3x)^2(-x)^2\,$ in the form $\,kx^n\,.$

Solution: $\,9x^4\,$

Question: Write $\,(-1)^4(-x^3)(-2x)(-x^2)\,$ in the form $\,kx^n\,.$

Solution: $\,-2x^6\,$

Helpful facts to remember:

$$\cssId{s75}{2^5 = 32}$$ $$\cssId{s76}{3^4 = 81}$$ $$\cssId{s77}{3^5 = 243}$$ $$\cssId{s78}{4^3 = 64}$$ $$\cssId{s79}{5^3 = 125}$$

Practice

Input the exponent using the  ‘ ^ ’  key:  on my keyboard, it is above the $\,6\,$.

  • If the answer is (say) $\,3\,$, you must write it as: 3x^0
  • If the answer is (say) $\,3x\,$, you must write it as: 3x^1
Write  
  in the form $\,kx^n\,$: