Question

MATH HELP

Answer 1

Math question is required.

Answer 2

simplify the expression (4x^2y^3)^3

Answer 3

wait does it say that 4x has the power of 2y?

Answer 4

No

Answer 5

its 4x^2 y^3

Answer 6

oh okay, that makes more sense.

Answer 7

if you were to put y times itself 3 times, it would give you 3Y. And just multiply 4 by 4 and put an x behind the answer.

It would look like this: __x 3Y, but then you'd have to do power of 3 again to each. so the product of 4 x 4 = ? times itself 3 times, and same with 3y

Answer 8

4096 and 27

Answer 9

if that's not an answer choice then I think it might be 16x 3y ^3

Answer 10

\((4x^2y^3)^3 \)

When you raise a power to a power, multiply powers.

Answer 11

sage would you like the choices?

Answer 12

yeah that'd help

Answer 13

For example:

\(\Large (x^3)^4 = x^{3 \times 4} = x^{12}\)

Answer 14

@mathstudent55 so they would be changed from (4x^2 y^3) to (4x^6 y^9) right?

Answer 15

Also, if you have a product raised to a power, raise every factor to the power.
For example:
\(\Large (xyz)^2 = x^2 y^2 z^2\)

Answer 16

A .12x^5 y^6
B. 7x^5 y^6
C. 64x^6 y^6
D. 64x^6 y^9

Answer 17

Keep the two rules above in mind.
Here they are again:
To raise a product to a power, raise every factor to the power.
To raise a power to a power, multiply exponents.

Answer 18

Here is the problem:

\((4x^2y^3)^3 \)

Let's apply the rule of the power of a product first.
Every factor is raised to the power 3.

\(=4^3(x^2)^3(y^3)^3 \)

Do you understand so far?

Answer 19

yes

Answer 20

@SageWilson
You were close, but the 4 also is raised to the 3rd power.

Answer 21

I did not know that. Thank you for enlightening me :)

Answer 22

so would it be A.?

Answer 23

Now we apply the second rule.
To raise a power to a power, multiply powers.

\(= 64x^6y^9\)

Answer 24

Remember that an exponent is not a number you multiply by.
An exponent tells you how many of the number in the base you need to multiply together.

Answer 25

correct

Answer 26

\(4^3 \ne 4 \times 3\)

\(4^3 = 4 \times 4 \times 4\)

Answer 27

ok

Answer 28

A is not correct because 4^3 is not 12.
Also, in choice A, the exponents of x and y were added to the outer exponent 3.
That is incorrect. The exponents of x and y must be multiplied by the outer exponent 3.

Answer 29

okay so i ruled out A

Answer 30

You don't need to rule any choice out.
Just find the correct answer and match it to the correct choice.

Answer 31

I don't understand it

Answer 32

Here it is again, step by step.