| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.28 |
| Score | 0% | 66% |
What is \( \frac{-7z^8}{1z^4} \)?
| -7z\(\frac{1}{2}\) | |
| -7z2 | |
| -7z32 | |
| -7z4 |
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:
\( \frac{-7z^8}{z^4} \)
\( \frac{-7}{1} \) z(8 - 4)
-7z4
A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 9 to 2 and the ratio of baseball to basketball cards is 9 to 1, what is the ratio of football to basketball cards?
| 3:8 | |
| 3:2 | |
| 81:2 | |
| 9:2 |
The ratio of football cards to baseball cards is 9:2 and the ratio of baseball cards to basketball cards is 9:1. To solve this problem, we need the baseball card side of each ratio to be equal so we need to rewrite the ratios in terms of a common number of baseball cards. (Think of this like finding the common denominator when adding fractions.) The ratio of football to baseball cards can also be written as 81:18 and the ratio of baseball cards to basketball cards as 18:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 81:18, 18:2 which reduces to 81:2.
The __________ is the greatest factor that divides two integers.
greatest common multiple |
|
absolute value |
|
greatest common factor |
|
least common multiple |
The greatest common factor (GCF) is the greatest factor that divides two integers.
Convert a-5 to remove the negative exponent.
| \( \frac{-1}{a^{-5}} \) | |
| \( \frac{-1}{-5a} \) | |
| \( \frac{1}{a^5} \) | |
| \( \frac{-1}{-5a^{5}} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
What is (x4)5?
| x | |
| 5x4 | |
| 4x5 | |
| x20 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(x4)5