Question

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

Answer 1

\[x^{a}.x^{b} = x ^{a+b}\]

Answer 2

?

Answer 3

help please

Answer 4

@Michele_Laino

Answer 5

do you mean x^3.x^3.x^3 ?

Answer 6

yes

Answer 7

hint:
\[\Large {x^3} \cdot {x^3} \cdot {x^3} = {x^{3 + 3 + 3}} = ...?\]

Answer 8

I don't understand

Answer 9

it is the application of the property of multiplication of powers with the same basis, please see the post of @alekos above

Answer 10

I just don't exactly know what im suppose to do.

Answer 11

I think that you have to compute the multiplication of those powers, namely
x^3 * x^3 * x^3

Answer 12

x^27

Answer 13

no, since we have this:
\[\Large {x^{27}} = {x^{3 \times 3 \times 3}} = {\left\{ {{{\left( {{x^3}} \right)}^3}} \right\}^3}\]

Answer 14

so they are equivalent?

Answer 15

no, they are different, since this quantity:
\[\Large {x^3} \cdot {x^3} \cdot {x^3} = {x^{3 + 3 + 3}}\]
is the multiplication of powers
whereas this quantity:
\[\Large {x^{3 \times 3 \times 3}} = {\left\{ {{{\left( {{x^3}} \right)}^3}} \right\}^3}\]
is the power of power of power

Answer 16

and when x is different from 1, those quantities are different

Answer 17

ok thank you

Answer 18

thanks! :)