## anonymous one year ago How to simplify the expression (-3c^3 d^4 e^6) ^2

1. Nnesha

hint: $\huge\rm (x^a y^b)^m = x^{a \times m}y^{b \times m}$

2. welshfella

use the rule for exponents - what Nnesha said

3. anonymous

oh okay so it would be $-3 c^{6} d ^{8} e ^{12} ?$

4. anonymous

cause you would multiply the 2 with all the rest right?

5. welshfella

doont forget to include the coefficients in your calculations

6. Nnesha

-3 is raising to the 2nd power as wll

7. welshfella

(-3)^2 = 9

8. Nnesha

-3 is same -3^1 $\rm so (-3^1)^2= (-3)^{1 \times 2}$

9. anonymous

well i mean for the coefficients, wouldn't they be the letters?

10. anonymous

so the answer is 9^2 c^6 d^8 e^12?

11. anonymous

Cause there are no numbers

12. Nnesha

that was an example $\huge\rm (x^a y^b)^m = x^{a \times m}y^{b \times m}$ everything which is inside the parentheses raising to the m power

13. anonymous

If yes, would the final answer be $9c^{6} d ^{8} e ^{6}$

14. Nnesha

$\huge\rm (e^6)^2 = e^{??}$

15. anonymous

oh i meant e^12

16. Nnesha

yes right

17. anonymous

okay thank you

18. Nnesha

np