| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.35 |
| Score | 0% | 67% |
What is (x3)3?
| 3x3 | |
| x0 | |
| x9 | |
| x6 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(x3)3What is \( \frac{3z^6}{8z^3} \)?
| \(\frac{3}{8}\)z18 | |
| \(\frac{3}{8}\)z9 | |
| \(\frac{3}{8}\)z3 | |
| \(\frac{3}{8}\)z-3 |
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:
\( \frac{3z^6}{8z^3} \)
\( \frac{3}{8} \) z(6 - 3)
\(\frac{3}{8}\)z3
Which of the following statements about exponents is false?
all of these are false |
|
b0 = 1 |
|
b1 = 1 |
|
b1 = b |
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).
Find the average of the following numbers: 17, 9, 14, 12.
| 9 | |
| 11 | |
| 13 | |
| 18 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{17 + 9 + 14 + 12}{4} \) = \( \frac{52}{4} \) = 13
What is the greatest common factor of 80 and 16?
| 3 | |
| 14 | |
| 10 | |
| 16 |
The factors of 80 are [1, 2, 4, 5, 8, 10, 16, 20, 40, 80] and the factors of 16 are [1, 2, 4, 8, 16]. They share 5 factors [1, 2, 4, 8, 16] making 16 the greatest factor 80 and 16 have in common.