Is the expression x3•x3•x3 equivalent to x3•3•3? Why or why not? Explain your reasoning.

Question

zepdrix · Answer

Third power means we're multiplying 3 x's together.$$\large\rm \color{orangered}{x^3}\cdot\color{royalblue}{x^3}\cdot\color{purple}{x^3}\qquad=\qquad \color{orangered}{x\cdot x\cdot x}\cdot\color{royalblue}{x\cdot x\cdot x}\cdot\color{purple}{x\cdot x\cdot x}$$So in total we have 9 x's multiplying together.

zepdrix · Answer

Another way we could write that,$$\large\rm x^3\cdot x^3\cdot x^3=x^9$$

Is this the same as $\large\rm x^{3\cdot3\cdot3}$ ?

mathmale · Answer

Notice how zepdrix has expressed those exponents correctly.  Unfortunately, x3•x3•x3 and  x3•3•3 are not correct (even tho' some people can correctly interpret them).

x^3:  third power of x

$$x^3$$    another way to write "third power of x" correctly.

Please answer zepdrix' question (above).

adfksfnads · Answer

@zepdrix i think that they are the same

mathmale · Answer

Think again.  How could 9 = 27?