| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.04 |
| Score | 0% | 61% |
Which of the following statements about exponents is false?
all of these are false |
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b1 = 1 |
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b1 = b |
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b0 = 1 |
A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).
The __________ is the smallest positive integer that is a multiple of two or more integers.
absolute value |
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least common multiple |
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least common factor |
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greatest common factor |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
What is -6x3 + x3?
| 7x3 | |
| -5x3 | |
| -5x6 | |
| -7x-3 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:
-6x3 + 1x3
(-6 + 1)x3
-5x3
What is \( \frac{7x^6}{4x^4} \)?
| 1\(\frac{3}{4}\)x24 | |
| 1\(\frac{3}{4}\)x2 | |
| 1\(\frac{3}{4}\)x\(\frac{2}{3}\) | |
| 1\(\frac{3}{4}\)x1\(\frac{1}{2}\) |
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:
\( \frac{7x^6}{4x^4} \)
\( \frac{7}{4} \) x(6 - 4)
1\(\frac{3}{4}\)x2
A factor is a positive __________ that divides evenly into a given number.
fraction |
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integer |
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improper fraction |
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mixed number |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.