| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.24 |
| Score | 0% | 65% |
What is 7a4 x 8a4?
| 15a8 | |
| 56a8 | |
| 56a16 | |
| 56a0 |
To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:
7a4 x 8a4
(7 x 8)a(4 + 4)
56a8
Convert c-4 to remove the negative exponent.
| \( \frac{-4}{c} \) | |
| \( \frac{-1}{-4c^{4}} \) | |
| \( \frac{1}{c^4} \) | |
| \( \frac{1}{c^{-4}} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
If \(\left|a\right| = 7\), which of the following best describes a?
a = -7 |
|
none of these is correct |
|
a = 7 |
|
a = 7 or a = -7 |
The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).
What is \( 5 \)\( \sqrt{27} \) + \( 3 \)\( \sqrt{3} \)
| 8\( \sqrt{3} \) | |
| 8\( \sqrt{81} \) | |
| 15\( \sqrt{27} \) | |
| 18\( \sqrt{3} \) |
To add these radicals together their radicands must be the same:
5\( \sqrt{27} \) + 3\( \sqrt{3} \)
5\( \sqrt{9 \times 3} \) + 3\( \sqrt{3} \)
5\( \sqrt{3^2 \times 3} \) + 3\( \sqrt{3} \)
(5)(3)\( \sqrt{3} \) + 3\( \sqrt{3} \)
15\( \sqrt{3} \) + 3\( \sqrt{3} \)
Now that the radicands are identical, you can add them together:
15\( \sqrt{3} \) + 3\( \sqrt{3} \)Which of the following is not an integer?
0 |
|
\({1 \over 2}\) |
|
-1 |
|
1 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.