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How do you multiply two different number with two different exponents?

the answer is simple you can not


When you add two terms with different exponential values do you add the exponents together?

No.


What does it mean to multiply two powers having the same base and add the exponents?

This is one of the laws of exponents, which states that xa * xb = x(a+b) The base is x, and the two powers (or exponents) are a and b.


What is the relationship between the exponents of the base and the exponent of the product?

when two numbers are multiplied together that are exponents you multiply the bases amd add the exponents the relationship would simply be that the product exponents are the sum of the exponents being multiplied in the question


What happens when you multiply two variables with different exponents?

When you multiply two variables with different exponents, the exponents are added. For example, if you multiply x^2 by x^3, the result is x^(2+3) = x^5. Similarly, if you multiply x^3 by x^(-2), the result is x^(3+(-2)) = x^1 = x.


When multiplying numbers with exponents do you add the exponents or multiply them?

If your multiplying two numbers with the same base you add the exponents. EX. 4^2 * 4^3 This means 4 to the 2nd power times 4 to the 3rd power. You just add the 2 and 3. Now it becomes: 4^5 Hope this helped!


What does the product rule of exponents?

When a base is raised to a power inside a quantity , multiply the two exponents to solve.


What does the product rule of exponents say?

When a base is raised to a power inside a quantity , multiply the two exponents to solve.


What do you do when you multiply two bases that are the same?

When you multiply two bases that are the same, you add their exponents. For example, if you have (a^m \times a^n), the result is (a^{m+n}). This rule applies only when the bases are identical; if the bases differ, you cannot combine them in this way.


What do you do with the exponents when you multiply two of the same variables?

To simplify, you write one copy of the base, then add the exponent. Example:x^5 times x^3 = x^8 In the case of positive integer exponents, this can easily be derived by writing each power as a repeated multiplication. However, this law is also valid for negative or fractional exponents.


Why do we add the exponents when we multiply terms with the same base?

When we multiply terms with the same base, we add the exponents due to the definition of exponentiation. Each exponent indicates how many times the base is multiplied by itself, so when we multiply two terms with the same base, we are essentially combining all those multiplications. For example, (a^m \times a^n) can be rewritten as (a) multiplied by itself (m) times and then (n) additional times, resulting in (a^{m+n}). This property helps simplify calculations and maintain consistency within the rules of exponents.


The product of two squared and two to the sixth power?

Two to the eighth power (you add exponents to multiply).