## anonymous one year ago 10√x5•x4•x2 simply

1. anonymous

@OregonDuck

2. DanJS

those are powers right

3. anonymous

yes

4. DanJS

$10\sqrt{x^5}* x^4 *x^2$

5. DanJS

is the 5 under the root or outside

6. anonymous

yes

7. DanJS

remember $\sqrt{x} = x ^{1/2}$

8. DanJS

also remember, a power raised to a power, you multiply them together... $[x^{a}]^b = x^{a*b}$

9. DanJS

and lastly, remember, multiplying a base raised to two powers, you ADD them $x^a * x^b = x^{a+b}$

10. DanJS

so, with those notes, can you start it

11. anonymous

i got x = 5

12. DanJS

you cant solve for x, it is not an equation, just make it look different, simpler

13. anonymous

x^ 10/11

14. DanJS

...ill show you step by step

15. DanJS

For the first root term $10\sqrt{x^5} = 10[x ^{5}]^{1/2} = 10x^{5*1/2} = 10x^{5/2}$

16. DanJS

Then when multiplying that by x^4 and x^2 you add the exponents $10x^{5/2}*x^4*x^2 = 10x^{5/2+4+2}$

17. DanJS

so i got $10x^{17/2}$

18. DanJS

you just have to remember the three or so basic exponent rules, then you can do all the probs