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

1. alekos

$x^{a}.x^{b} = x ^{a+b}$

2. Barrelracing

?

3. Barrelracing

4. Barrelracing

@Michele_Laino

5. alekos

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

6. Barrelracing

yes

7. Michele_Laino

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

8. Barrelracing

I don't understand

9. Michele_Laino

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

10. Barrelracing

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

11. Michele_Laino

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

12. Barrelracing

x^27

13. Michele_Laino

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

14. Barrelracing

so they are equivalent?

15. Michele_Laino

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

16. Michele_Laino

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

17. Barrelracing

ok thank you

18. Michele_Laino

thanks! :)