Question

How to simplify the expression (-3c^3 d^4 e^6) ^2

Answer 1

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

Answer 2

use the rule for exponents
- what Nnesha said

Answer 3

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

Answer 4

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

Answer 5

doont forget to include the coefficients in your calculations

Answer 6

-3 is raising to the 2nd power as wll

Answer 7

(-3)^2 = 9

Answer 8

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

Answer 9

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

Answer 10

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

Answer 11

Cause there are no numbers

Answer 12

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

Answer 13

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

Answer 14

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

Answer 15

oh i meant e^12

Answer 16

yes right

Answer 17

okay thank you

Answer 18

np