You would subtract the exponents. For instance, when solving (x-3)5/(x-3)2, you would find an answer of (x-3)3.
i guess u subtract the exponents
like terms
The exponents are added.
If the base numbers or variables are the same, you add the exponents.
No. For purposes of combining "like terms", you need terms that have exactly the same variables, with the same exponents (if there are any).
When dividing two terms with the same base, you subtract the exponent of the denominator from the exponent of the numerator. This is expressed as ( a^m / a^n = a^{m-n} ). This rule applies as long as the base ( a ) is not zero.
Sum the exponents.
i guess u subtract the exponents
When dividing powers with the same base, you subtract the exponents to simplify the expression based on the properties of exponents. This is derived from the definition of exponents, where dividing (a^m) by (a^n) (both with the same base (a)) can be thought of as removing (n) factors of (a) from (m) factors of (a), resulting in (a^{m-n}). This rule helps maintain consistency and simplifies calculations involving powers.
When multiplying two terms with the same base, you add the exponents. For example, if you have ( a^m \times a^n ), the result is ( a^{m+n} ). This rule applies to any non-zero base.
1.2
When multiplying exponents with the same base add them: x^3*x^2 = x^5 When dividing exponents with the same base subtract them: x^3/x^2 = x^1 or x
The quotient rule of exponents in Algebra states that dividing expressions with the same base you subtract the exponents. However, the base cannot be equal to zero.The above statement follows this rule in Algebra:xm/xn = xm-n;x cannot equal 0Here's an example:x15/x5 = x15-5 = x10
When multiplying terms with the same base, we add the exponents because of the fundamental property of exponents that states (a^m \times a^n = a^{m+n}). This property arises from the repeated multiplication of the base: for example, (a^m) represents multiplying the base (a) by itself (m) times, and (a^n) represents multiplying it (n) times. Therefore, when these two terms are multiplied, the total number of times the base (a) is multiplied is (m + n).
1.6667
It is the base raised to the exponent used in the numerator minus the exponent for the denominator. That is, a^x / a^y = a^(x-y)
When dividing powers of the same base, you subtract the exponents to reflect how many times the base is being divided. This is based on the principle that dividing a number by itself cancels it out, which corresponds to subtracting the exponent of the divisor from the exponent of the dividend. For example, (a^m \div a^n = a^{m-n}) effectively shows how many times the base remains after division. This rule simplifies calculations and maintains consistency in exponential expressions.