| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.33 |
| Score | 0% | 67% |
Convert c-4 to remove the negative exponent.
| \( \frac{-1}{c^{-4}} \) | |
| \( \frac{-1}{-4c} \) | |
| \( \frac{1}{c^4} \) | |
| \( \frac{4}{c} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
What is \( \sqrt{\frac{36}{81}} \)?
| \(\frac{2}{3}\) | |
| 1\(\frac{2}{7}\) | |
| 1\(\frac{3}{5}\) | |
| 1 |
To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:
\( \sqrt{\frac{36}{81}} \)
\( \frac{\sqrt{36}}{\sqrt{81}} \)
\( \frac{\sqrt{6^2}}{\sqrt{9^2}} \)
\(\frac{2}{3}\)
What is \( \frac{2}{8} \) x \( \frac{2}{8} \)?
| \(\frac{2}{27}\) | |
| \(\frac{1}{16}\) | |
| \(\frac{3}{32}\) | |
| \(\frac{1}{6}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{8} \) x \( \frac{2}{8} \) = \( \frac{2 x 2}{8 x 8} \) = \( \frac{4}{64} \) = \(\frac{1}{16}\)
What is \( \frac{2}{6} \) ÷ \( \frac{1}{8} \)?
| 2\(\frac{2}{3}\) | |
| \(\frac{1}{5}\) | |
| \(\frac{4}{35}\) | |
| \(\frac{2}{35}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{2}{6} \) ÷ \( \frac{1}{8} \) = \( \frac{2}{6} \) x \( \frac{8}{1} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{6} \) x \( \frac{8}{1} \) = \( \frac{2 x 8}{6 x 1} \) = \( \frac{16}{6} \) = 2\(\frac{2}{3}\)
The __________ is the smallest positive integer that is a multiple of two or more integers.
absolute value |
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least common factor |
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greatest common factor |
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least common multiple |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.