3.11: Proficiency Exam
Proficiency Exam
Simplify the expressions for the following problems.
\(-\{-[(-6)]\}\)
- Answer
-
\(-6\)
\(-|-15|\)
- Answer
-
\(-15\)
\(-[|-12|-10]^2\)
- Answer
-
\(-4\)
\(-5(-6)+4(-8)-|-5|\)
- Answer
-
\(-7\)
\(\dfrac{3(-8)-(-2)(-4-5)}{(-2)(-3)}\)
- Answer
-
\(-7\)
\(-|7|-(2)^2+(-2)^2\)
- Answer
-
\(-7\)
\(\dfrac{-6(2)(-2)}{-(-5-3)}\)
- Answer
-
\(3\)
\(\dfrac{-2\{[(-2-3)][-2]\}}{-3(4-2)}\)
- Answer
-
\(5\)
If \(z = \dfrac{x-u}{s}\), \(z\) is \(x = 14, u = 20\), and \(s = 2\).
- Answer
-
\(-3\)
When simplifying the terms for the following problems, write each so that only positive exponents appear.
\(\dfrac{1}{-(-5)^{-3}}\)
- Answer
-
\(125\)
\(\dfrac{5x^3y^{-2}}{x^{-4}}\)
- Answer
-
\(\dfrac{5x^3z^4}{y^2}\)
\(2^{-2}m^6(n-4)^{-3}\)
- Answer
-
\(\dfrac{m^6}{4(n-4)^3}\)
\(4a^{-6}(2a^{-5})\)
- Answer
-
\(\dfrac{8}{a^{11}}\)
\(\dfrac{6^{-1}x^3y^{-5}z^{-3}}{y^{-5}}\)
- Answer
-
\(\dfrac{1}{6}\)
\(\dfrac{(k-6)^2(k-6)^{-4}}{(k-6)^3}\)
- Answer
-
\(\dfrac{1}{(k-6)^5}\)
\(\dfrac{(y+1)^3(y-3)^4}{(y+1)^5(y-3)^{-8}}\)
- Answer
-
\(\dfrac{(y-3)^{12}}{(y+1)^2}\)
\(\dfrac{(3^{-6})(3^2)(3^{-10})}{(3^{-5})(3^{-9})}\)
- Answer
-
\(1\)
\((a^4)^{-3}\)
- Answer
-
\(\dfrac{1}{a^{12}}\)
\([\dfrac{r^6s^{-2}}{m^{-5}n^4}]^{-4}\)
- Answer
-
\(\dfrac{n^{16}s^8}{m^{20}r^{24}}\)
\((c^0)^{-2}, c \not = 0\)
- Answer
-
\(1\)
Write 0.000271 using scientific notation.
- Answer
-
\(2.71 \times 10^{-4}\)
Write \(8.90 \times 10^5\) in standard form.
- Answer
-
890,000
Find the value of \((3 \times 10^5)(2 \times 10^{2})\).
- Answer
-
6000
Find the value of \((4 \times 10^{-16})^2\)
- Answer
-
\(1.6 \times 10^{-31}\)
If \(k\) is a negative integer, is \(-k\) a positive or negative integer?
- Answer
-
a positive integer