Question

How do you simplify #(- 3x ^ { 3} y z ^ { 4} ) ^ { 2} ( 3y ^ { 2} z ^ { 2} )#?

How do you simplify #(- 3x ^ { 3} y z ^ { 4} ) ^ { 2} ( 3y ^ { 2} z ^ { 2} )#?
0 0
Add a comment Improve this question
Answer #1

Sign Up to Unlock the answer FREE

Already have an account? Log in

#(-3x^3yz^4)^2(3y^2z^2) = 27x^6y^4z^10#

Explanation:

Given: #(-3x^3yz^4)^2(3y^2z^2)#

Watch out for expressions like this one - it is easy to miss the #( ... ) ^2# and jump into multiplying the first term by the second.

This expression should be written out as follows as a first step:

#(-3x^3yz^4)(-3x^3yz^4)(3y^2z^2)#

Then the expression can clearly be solved by multiplying all the numeric values, and adding all the #like# exponents.

#-3*-3*3 = 27; x^3*x^3 = x^6; y*y*y^2 = y^4; z^4*z^4*z^2 = z^10 #

And putting it all together:

#(-3x^3yz^4)^2(3y^2z^2) = 27x^6y^4z^10#

answered by: EET-AP
Add a comment
Know the answer?
Add Answer to:
How do you simplify #(- 3x ^ { 3} y z ^ { 4} ) ^ { 2} ( 3y ^ { 2} z ^ { 2} )#?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
Active Questions
ADVERTISEMENT