| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.57 |
| Score | 0% | 71% |
Solve for \( \frac{5!}{3!} \)
| 20 | |
| 120 | |
| 210 | |
| 336 |
A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:
\( \frac{5!}{3!} \)
\( \frac{5 \times 4 \times 3 \times 2 \times 1}{3 \times 2 \times 1} \)
\( \frac{5 \times 4}{1} \)
\( 5 \times 4 \)
20
The __________ is the greatest factor that divides two integers.
greatest common multiple |
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least common multiple |
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greatest common factor |
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absolute value |
The greatest common factor (GCF) is the greatest factor that divides two integers.
What is (c2)4?
| c8 | |
| 4c2 | |
| c2 | |
| c6 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(c2)4Which of the following is not an integer?
1 |
|
0 |
|
-1 |
|
\({1 \over 2}\) |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
Convert a-3 to remove the negative exponent.
| \( \frac{1}{a^{-3}} \) | |
| \( \frac{1}{a^3} \) | |
| \( \frac{-3}{a} \) | |
| \( \frac{-3}{-a} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.