- Can you cancel out denominators?
- Can you have a negative variable?
- How do you turn a negative into a positive?
- How do you get rid of an exponent with a variable?
- What happens when the variables cancel out?
- What are the five rules of exponents?
- When can you cancel out a variable?
- How do you know if there is no solution or infinite solutions?
Can you cancel out denominators?
Cancel any factors found both in a numerator and the opposite denominator.
Multiply all factors on the top of both fractions to form the numerator of the answer, and multiply all factors on the bottom of both fractions to form the denominator of the answer..
Can you have a negative variable?
Variables can be negative or positive in nature. … A negative variable times a positive variable will produce a negative product. For example, -x * y = -xy.
How do you turn a negative into a positive?
All you have to do just multiply a negative value with -1 and it will return the positive number instead of negative. Below you have a range of cells with negative numbers. So to convert them into positive you just need to enter the formula in cell B2 and drag it up to the last cell.
How do you get rid of an exponent with a variable?
For example, to solve 2x – 5 = 8x – 3, follow these steps:Rewrite all exponential equations so that they have the same base. This step gives you 2x – 5 = (23)x – 3.Use the properties of exponents to simplify. A power to a power signifies that you multiply the exponents. … Drop the base on both sides. … Solve the equation.
What happens when the variables cancel out?
In general, if you have an equation in which all your variables cancel out, then it tells you that your equation is either true or false, independently of the vaues your variables take. In your example, you arrive at the equation 0=1, which is false. No matter what values you take for x and y, it will never be true.
What are the five rules of exponents?
Exponents rules and propertiesRule nameRuleExampleQuotient rulesa n / a m = a n-m25 / 23 = 25-3 = 4a n / b n = (a / b) n43 / 23 = (4/2)3 = 8Power rules(bn)m = bn⋅m(23)2 = 23⋅2 = 64bnm = b(nm)232 = 2(32)= 51212 more rows
When can you cancel out a variable?
Factors can be canceled only if they appear as factors of both the numerator and the denominator; they are canceled because they reduce to 1. You can see how the fraction below simplifies to 1. However, terms separated by addition or subtraction in the numerator or denominator cannot be canceled.
How do you know if there is no solution or infinite solutions?
No solution would mean that there is no answer to the equation. It is impossible for the equation to be true no matter what value we assign to the variable. Infinite solutions would mean that any value for the variable would make the equation true. … Note that we have variables on both sides of the equation.