I never really do this but...can someone help me with these?
6. (4x^2 - 2x - 1) - (-3x^3 + 2)
A. -3x^3 + 4x^2 - 2x + 1
B. -3x^3 + 4x^2 - 2x - 3
C. 3x^3 + 4x^2 - 2x + 1
D. 3x^3 + 4x^2 - 2x - 3
___
8. f^2 * f^4
A. (2f)^8
B. (2f)^6
C. f^8
D. f^6
___
9. 11^12 / 11^8 (fraction)
A. 11^12/8
B. 100^96
C. 100^4
D. 100^20
___
10. x^13 / x^2
A. x^13/2
B. x^15
C. x^11
D. x^26
___
11. 4^4 * 4^10
A. 4^14
B. 4^6
C. 4^40
D. 4^10
___
12. 3^3 * 3^33
A. 3^24
B. 3^30
C. 3^36
D. 3^99
I honestly don't even have guesses...srry
This is a test. It assesses what you know. Go back and learn this material. Cheaters are often banned from posting on Jiskha.
Why would "guess" for math problems
Surely you could have tried to work them out
#6 is trivial
#8-12 deal with the rules of multiplying and dividing powers
When multiplying powers with the same base, keep the base and add the exponents
e.g. x^4 * x^8 = x^12
When dividing powers with the same base, keep the base and subtract the exponents
e.g. x^8 / x^3 = x^5
now do the rest, let me know what you got
No problem! I'm here to help. Let's go through each question step by step:
6. (4x^2 - 2x - 1) - (-3x^3 + 2)
= 4x^2 - 2x - 1 + 3x^3 - 2
= 3x^3 + 4x^2 - 2x - 3
So, the answer is option D. 3x^3 + 4x^2 - 2x - 3.
8. f^2 * f^4
= f^(2+4)
= f^6
Therefore, the answer is option D. f^6.
9. 11^12 / 11^8
= 11^(12-8)
= 11^4
So, the answer is option C. 100^4.
10. x^13 / x^2
= x^(13-2)
= x^11
The answer is option C. x^11.
11. 4^4 * 4^10
= 4^(4+10)
= 4^14
Therefore, the answer is option A. 4^14.
12. 3^3 * 3^33
= 3^(3+33)
= 3^36
So, the answer is option C. 3^36.
No problem! I'm here to help you with these questions. Let's go through each one together:
6. To simplify the expression (4x^2 - 2x - 1) - (-3x^3 + 2), you need to distribute the negative sign to the terms inside the parentheses. This will give you 4x^2 - 2x - 1 + 3x^3 - 2. Rearranging the terms, you get 3x^3 + 4x^2 - 2x - 1 - 2. Combining like terms, the simplified expression is: 3x^3 + 4x^2 - 2x - 3. So, the correct answer is D.
8. When you multiply like bases with exponents, you add the exponents. In this case, f^2 * f^4 equals f^(2+4), which simplifies to f^6. Therefore, the correct answer is D.
9. When dividing exponents with the same base, you subtract the exponents. So, 11^12 / 11^8 equals 11^(12-8), which simplifies to 11^4. Therefore, the correct answer is C.
10. When dividing exponents with the same base, you subtract the exponents. So, x^13 / x^2 equals x^(13-2), which simplifies to x^11. Therefore, the correct answer is C.
11. When multiplying exponents with the same base, you add the exponents. So, 4^4 * 4^10 equals 4^(4+10), which simplifies to 4^14. Therefore, the correct answer is A.
12. When multiplying exponents with the same base, you add the exponents. So, 3^3 * 3^33 equals 3^(3+33), which simplifies to 3^36. Therefore, the correct answer is C.
I hope this helps! If you have any further questions, feel free to ask.