How do you solve exponents with variables?
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 are the rules for exponents?
The Power Rule for Exponents: (am)n = am*n. To raise a number with an exponent to a power, multiply the exponent times the power. Negative Exponent Rule: x–n = 1/xn. Invert the base to change a negative exponent into a positive.
Which is an example of an exponents rule?
Exponents rules and properties Rule name Rule Example Product rules a n ⋅ a m = a n+m 2 3 ⋅ 2 4 = 2 3+4 = 128 Product rules a n ⋅ b n = ( a ⋅ b) n 3 2 ⋅ 4 2 = (3⋅4) 2 = 144 Quotient rules a n / a m = a n-m 2 5 / 2 3 = 2 5-3 = 4 Quotient rules a n / b n = ( a / b) n 4 3 / 2 3 = (4/2) 3 = 8
What does it mean when a variable has an exponent?
What is a Variable with an Exponent? A Variable is a symbol for a number we don’t know yet. It is usually a letter like x or y. An exponent (such as the 2 in x2) says how many times to use the variable in a multiplication.
What does the exponent in x 2 mean?
An exponent (such as the 2 in x 2) says how many times to use the variable in a multiplication. (yy means y multiplied by y, because in Algebra putting two letters next to each other means to multiply them) Likewise z 3 = zzz and x 5 = xxxxx.
Which is the exponent of a raised to the power of N?
The base a raised to the power of n is equal to the multiplication of a, n times: a is the base and n is the exponent. 3 4 = 3 × 3 × 3 × 3 = 81 3 5 = 3 × 3 × 3 × 3 × 3 = 243 an ⋅ am = an+m