| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.35 |
| Score | 0% | 67% |
What is (y5)4?
| y | |
| 5y4 | |
| y-1 | |
| y20 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(y5)4A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 5% off." If Roger buys two shirts, each with a regular price of $50, how much money will he save?
| $10.00 | |
| $12.50 | |
| $5.00 | |
| $2.50 |
By buying two shirts, Roger will save $50 x \( \frac{5}{100} \) = \( \frac{$50 x 5}{100} \) = \( \frac{$250}{100} \) = $2.50 on the second shirt.
What is 4b6 x b7?
| 4b13 | |
| 5b42 | |
| 4b | |
| 5b7 |
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:
4b6 x b7
(4 x 1)b(6 + 7)
4b13
Convert x-2 to remove the negative exponent.
| \( \frac{1}{x^{-2}} \) | |
| \( \frac{1}{x^2} \) | |
| \( \frac{-1}{-2x} \) | |
| \( \frac{-2}{x} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
Which of the following statements about exponents is false?
b1 = 1 |
|
b1 = b |
|
all of these are false |
|
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).