The process of simplifying in the realm of mathematics pertains to the act of minimizing an equation, fraction, or any other mathematical expression to its most straightforward and uncomplicated form. This process often necessitates the utilization of several arithmetic rules such as the distributive, associative, and commutative laws. The central objective behind simplifying is to render the problem more digestible and easier to solve or juxtapose with other mathematical expressions.
| Topic | Problem | Solution |
|---|---|---|
| None | Find the average of the two indicated real number… | Let's find the average of the two real numbers \(\frac{2}{9}\) and \(-2\). |
| None | c. $\left(8 \times 10^{9}\right) \div\left(4 \tim… | \((8 \times 10^9) \div (4 \times 10^6) = (8 \times 10^9) \cdot \frac{1}{4 \times 10^6}\) |
| None | Question 2 of 17, Step 1 of 1 Correct Evaluate th… | The given expression is a combination formula, which is used to calculate the number of ways to cho… |
| None | Writing Express 0.00000846 in scientific notation… | Express the number 0.00000846 in scientific notation. To do this, move the decimal point to the rig… |
| None | Question 1 of 17 , Step 1 of 1 $0 / 17$ Correct E… | The given expression is a ratio of a permutation to a combination. The permutation $_{13}P_{7}$ rep… |
| None | evaluate \[ \frac{3 ! 5 !}{6 ! 4 !} \] simplify y… | Given the expression \(\frac{3 ! 5 !}{6 ! 4 !}\) |
| None | Evaluate the factorial expression. \[ \frac{23 !}… | The factorial of a number n, denoted as n!, is the product of all positive integers less than or eq… |
| None | Simplify the following natural logarithm with the… | Given the natural logarithm \(\ln \left(e^{-1 / a}\right)\). |
| None | Simplify the expression $\frac{7800}{0.0003}$ usi… | Divide 7800 by 0.0003 to get the result. |
| None | Evaluate the following expression. $6 !$ Answer H… | The factorial of a non-negative integer n, denoted by n!, is the product of all positive integers l… |
| None | Evaluate. \[ \frac{17 !}{13 !} \] The solution is | The factorial of a number n, denoted as n!, is the product of all positive integers less than or eq… |