| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.29 |
| Score | 0% | 66% |
What is \( \frac{-9z^6}{4z^3} \)?
| -\(\frac{4}{9}\)z9 | |
| -2\(\frac{1}{4}\)z18 | |
| -2\(\frac{1}{4}\)z-3 | |
| -2\(\frac{1}{4}\)z3 |
To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:
\( \frac{-9z^6}{4z^3} \)
\( \frac{-9}{4} \) z(6 - 3)
-2\(\frac{1}{4}\)z3
Convert c-2 to remove the negative exponent.
| \( \frac{-2}{-c} \) | |
| \( \frac{1}{c^{-2}} \) | |
| \( \frac{2}{c} \) | |
| \( \frac{1}{c^2} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
Which of the following statements about exponents is false?
all of these are false |
|
b1 = 1 |
|
b1 = b |
|
b0 = 1 |
A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).
If a car travels 60 miles in 3 hours, what is the average speed?
| 35 mph | |
| 15 mph | |
| 30 mph | |
| 20 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Find the average of the following numbers: 16, 8, 16, 8.
| 13 | |
| 12 | |
| 11 | |
| 7 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{16 + 8 + 16 + 8}{4} \) = \( \frac{48}{4} \) = 12