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

Question

zepdrix · Answer

Hey Steve,
It's a little difficult to understand where your 3's are placed.
Does the problem look like this?
$\large\rm x^3\cdot x^3\cdot x^3$ and $\large\rm x^{3\cdot3\cdot3}$

zepdrix · Answer

Here is a handy exponent rule to remember:
$\large\rm x^a\cdot x^b\quad=\quad x^{a+b}$
The exponents get `added together`, not multiplied.

anonymous · Answer

yes it looks like what you said

anonymous · Answer

i know what the answer is for $$x ^{3}x ^{3}x ^{3}$$ but i dont know how to find the answer to the second equation

anonymous · Answer

is it just x^9?

zepdrix · Answer

Using our exponent rule we can determine that
$\large\rm x^3\cdot x^3\cdot x^3=x^{3+3+3}$
good good, x^9.

which is NOT the same as $\large\rm x^{3\cdot3\cdot3}$
right?

anonymous · Answer

yes ok thank you very much

zepdrix · Answer

3*3*3=27

np