Question

Is the expression x^3•x^3•x^3 equivalent to x^3•3•3?

Answer 1

Do you mean

"Is the expression \(\large x^3*x^3*x^3\) equivalent to \(\large x^{3*3*3}\) ?"

Answer 2

Yes

Answer 3

One of the many algebraic rules is that

\[\Large x^a*x^b = x^{a+b}\]

notice how the exponents 'a' and 'b' are added together. They are NOT multiplied

You can extend the rule out to as many exponents as you want

\[\Large x^a*x^b*x^c = x^{a+b+c}\]
\[\Large x^a*x^b*x^c*x^d = x^{a+b+c+d}\]
\[\Large x^a*x^b*x^c*x^d*x^e = x^{a+b+c+d+e}\]
etc etc

just make sure that the bases are all the same number

Answer 4

just make sure that the bases are all the same number or algebraic expression (like x or something)

Answer 5

Thank you very much!

Answer 6

no problem