| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.96 |
| Score | 0% | 59% |
Convert b-4 to remove the negative exponent.
| \( \frac{-1}{-4b} \) | |
| \( \frac{-1}{-4b^{4}} \) | |
| \( \frac{4}{b} \) | |
| \( \frac{1}{b^4} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
What is -7a2 x 6a4?
| -42a8 | |
| -a4 | |
| -42a4 | |
| -42a6 |
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:
-7a2 x 6a4
(-7 x 6)a(2 + 4)
-42a6
What is \( 9 \)\( \sqrt{112} \) + \( 2 \)\( \sqrt{7} \)
| 11\( \sqrt{7} \) | |
| 18\( \sqrt{112} \) | |
| 38\( \sqrt{7} \) | |
| 18\( \sqrt{784} \) |
To add these radicals together their radicands must be the same:
9\( \sqrt{112} \) + 2\( \sqrt{7} \)
9\( \sqrt{16 \times 7} \) + 2\( \sqrt{7} \)
9\( \sqrt{4^2 \times 7} \) + 2\( \sqrt{7} \)
(9)(4)\( \sqrt{7} \) + 2\( \sqrt{7} \)
36\( \sqrt{7} \) + 2\( \sqrt{7} \)
Now that the radicands are identical, you can add them together:
36\( \sqrt{7} \) + 2\( \sqrt{7} \)The __________ is the greatest factor that divides two integers.
least common multiple |
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greatest common multiple |
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absolute value |
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greatest common factor |
The greatest common factor (GCF) is the greatest factor that divides two integers.
If the ratio of home fans to visiting fans in a crowd is 4:1 and all 50,000 seats in a stadium are filled, how many home fans are in attendance?
| 31,200 | |
| 24,000 | |
| 40,000 | |
| 24,667 |
A ratio of 4:1 means that there are 4 home fans for every one visiting fan. So, of every 5 fans, 4 are home fans and \( \frac{4}{5} \) of every fan in the stadium is a home fan:
50,000 fans x \( \frac{4}{5} \) = \( \frac{200000}{5} \) = 40,000 fans.