Question

WILL FAN AND MEDAL any who help:
Choose the correct simplification of (7x^3y^3)^2.
Select one:
a. 14x^6 y^6
b. 49x^5 y^5
c. 49x^6 y^6
d. 14x^5y^5

Answer 1

@.Sam. @mjdennis @agent0smith @undeadknight26 @phi @Preetha @mathmate

Answer 2

I think for this one you would do similar steps according to this formula elsewhere in the lesson
(xy)^n = x^ny^n

To raise a product to a power, apply that power to each factor inside the parentheses.

Answer 3

but its also raising a power to a power so it would also be this formula:

(x^m)^n = x^(m • n)

To raise a power to a power, multiply the exponents.

Answer 4

Both formulas tell you the same thing.

Answer 5

?

Answer 6

Essentially they're the same thing. Start attempting to simplify it :)

Answer 7

ok

Answer 8

\[(7x^3y^3)^2\] so you would multiply 2 by 3 for 7x^3 and y^3?

Answer 9

so it would be \[14x^6 y^6\]

Answer 10

Remember that the 7 already has a 1 exponent on it.

Answer 11

so what does that mean?

Answer 12

Treat the 7 the same way you did the x and y.

Answer 13

so .. wait do I add the 1 exponent to the 2?

Answer 14

*multiply

Answer 15

Treat the 1 exponent on the 7, the exact same way you did the exponents on the x and y. Remember, using (x^m)^n = x^(m • n)

Answer 16

so 1 + 3 * the 2??
7

(7x^3y^3)^2

Answer 17

i think im starting to confuse myself on something simple

Answer 18

You're still forgetting the 1 exponent on the 7. Literally put one there, \[\large (7^1 x^3y^3)^2\]Now simplify.

Answer 19

yes thats what i ment by the 1+3 i just forgot to put it in the equation

Answer 20

oh would you multiply 1*3*2?

Answer 21

but that would still just be 6 :(

Answer 22

wait could it be:
\[49x^6y^6\]

Answer 23

7^2 power would be 49

Answer 24

and the 1*2 would be that 2
i was over thinking it!!

Answer 25

thanks so much @age

Answer 26

@agent0smith

Answer 27

sorry sent the 3rd to last with out your whole name

Answer 28

\[\large (7^1 x^3y^3)^2 = 7^2 x^6 y^6\]

Good job :)

That;s why whenever there is a number in the parentheses, always put a 1 exponent on it.

Answer 29

Thanks!!

Answer 30

You're welcome!

Answer 31

I'm gonna close this one now