## anonymous one year ago If (44)x = 432, what is the value of x? 4 7 8 28

1. anonymous

$4^{4})x = 4^{32}$

2. Michele_Laino

is your equation like this? $\Large {44^x} = 432$

3. anonymous

no its like the one i just wrote in there

4. Michele_Laino

sorry!

5. anonymous

its okay (:

6. anonymous

x=8

7. anonymous

8. Michele_Laino

then we have to divide both sides by 4^4, so we get: $\Large \frac{{{4^4}x}}{{{4^4}}} = \frac{{{4^{32}}}}{{{4^4}}}$ please simplify

9. anonymous

32/ 4 = 8 s therefore x=8

10. anonymous

you have to multiply the exponents that are 4 and x and make them equal to 32 4*x=32 x=32/4 x=8

11. Michele_Laino

hint: $\Large \begin{gathered} \frac{{{4^4}}}{{{4^4}}} = {4^4}:{4^4} = {4^{4 - 4}} = {4^0} = ... \hfill \\ \hfill \\ \frac{{{4^{32}}}}{{{4^4}}} = {4^{32}}:{4^4} = {4^{32 - 4}} = ...? \hfill \\ \end{gathered}$

12. anonymous

13. Michele_Laino

ok! then your equation is: $\Large {4^{4x}} = {4^{32}}$

14. anonymous

15. Michele_Laino

good job! @ana123456

16. Michele_Laino

correct!