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nothing, keep the exponents the same, remember you can only add or subtract when the exponents are the same

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When adding polynomials what do you do to the exponents?

You keep them the same if they have different bases


Why the exponents cannot be added in the product with the same numbers?

Exponents represent repeated multiplication of a base number, and the rules of exponents state that when multiplying two powers with the same base, you add the exponents (e.g., (a^m \times a^n = a^{m+n})). However, when you have a product with exponents, you cannot simply add the exponents because they represent different operations. Each exponent is tied to its specific base, so adding them would misrepresent the actual multiplication of the numbers involved. For example, (a^m \times b^n) cannot be simplified by adding the exponents since (a) and (b) are different bases.


How do you simplily this equation using exponents?

To simplify an equation using exponents, first identify the base numbers and their respective powers. Apply the laws of exponents, such as the product of powers (adding exponents when multiplying like bases), the quotient of powers (subtracting exponents when dividing like bases), and the power of a power (multiplying exponents when raising a power to another power). Combine like terms and reduce any fractions as needed. Finally, express the equation in its simplest form.


What do you do to exponents when adding?

When adding numbers with exponents, you can only combine the terms if they have the same base and the same exponent. For example, (2^3 + 2^3) can be simplified to (2 \times 2^3 = 2^4), which equals (16). However, if the bases or exponents differ, you cannot combine them directly; you must leave them as separate terms.


What is Combining laws of exponents?

Combining laws of exponents refers to the rules that govern the manipulation of expressions involving powers. Key laws include the product of powers (adding exponents when multiplying like bases), the quotient of powers (subtracting exponents when dividing like bases), and the power of a power (multiplying exponents when raising a power to another power). These rules help simplify expressions and solve equations involving exponents efficiently. Understanding these laws is essential for working with algebraic expressions in mathematics.

Related Questions

When adding polynomials what do you do to the exponents?

You keep them the same if they have different bases


How do we know if we have to multiply or add exponents if the bases are the same?

You have to add the exponents. It's best if you just remember it. You can also consider what happens when you multiply something like:(2 x 2 x 2) x (2 x 2) As you can notice, the number of factors get added. That's like adding the exponents.


Why the exponents cannot be added in the product with the same numbers?

Exponents represent repeated multiplication of a base number, and the rules of exponents state that when multiplying two powers with the same base, you add the exponents (e.g., (a^m \times a^n = a^{m+n})). However, when you have a product with exponents, you cannot simply add the exponents because they represent different operations. Each exponent is tied to its specific base, so adding them would misrepresent the actual multiplication of the numbers involved. For example, (a^m \times b^n) cannot be simplified by adding the exponents since (a) and (b) are different bases.


How do you simplily this equation using exponents?

To simplify an equation using exponents, first identify the base numbers and their respective powers. Apply the laws of exponents, such as the product of powers (adding exponents when multiplying like bases), the quotient of powers (subtracting exponents when dividing like bases), and the power of a power (multiplying exponents when raising a power to another power). Combine like terms and reduce any fractions as needed. Finally, express the equation in its simplest form.


What are the exponents and bases?

Exponents are numbers that simplify the amount of times a number multiplies by itself. For example, 5^3 would be equal to 5x5x5 which equals 125. In that same number, 5 would be the base and 3 would be the exponent, (aka) the little number on the top right of another number. And yes, exponents CAN have exponents.


What do you do to exponents when adding?

When adding numbers with exponents, you can only combine the terms if they have the same base and the same exponent. For example, (2^3 + 2^3) can be simplified to (2 \times 2^3 = 2^4), which equals (16). However, if the bases or exponents differ, you cannot combine them directly; you must leave them as separate terms.


HOW DO ADDING POWERS?

Adding powers involves combining expressions that have the same base and exponent. If the bases and exponents are identical, you can simply add the coefficients in front of the powers. For example, (3x^2 + 5x^2 = (3 + 5)x^2 = 8x^2). However, if the bases or exponents differ, you cannot directly combine them without additional operations.


What is Combining laws of exponents?

Combining laws of exponents refers to the rules that govern the manipulation of expressions involving powers. Key laws include the product of powers (adding exponents when multiplying like bases), the quotient of powers (subtracting exponents when dividing like bases), and the power of a power (multiplying exponents when raising a power to another power). These rules help simplify expressions and solve equations involving exponents efficiently. Understanding these laws is essential for working with algebraic expressions in mathematics.


What are the rules adding and subtracting exponents?

When multiplying something with exponents, you add it. When dividing something with exponents, you subtract it.


When you are multiplying exponents do you only add the exponents or do you also multiply the bases?

Add the exponents


When multiplying common bases the exponents?

When multiplying common bases, you add the exponents. For example, if you have ( a^m \times a^n ), the result is ( a^{m+n} ). This property applies to any real number base, provided the base is not zero.


When adding numbers with exponents do you add or subtract the exponents?

you do not do anything when you add numbers with exponents. you just figure out the answer. it is only if you multiply numbers with exponents, where you add the exponents..