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How do you simplify exponents or powers in algebra?

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


Why do you subtract the exponents when dividing powers with the same base?

When dividing powers with the same base, you subtract the exponents to reflect the principle of cancellation in multiplicative terms. This stems from the law of exponents which states that dividing two identical bases essentially removes one of the bases from the numerator and the denominator. By subtracting the exponents, you are effectively calculating how many times the base remains after the division. Thus, ( a^m / a^n = a^{m-n} ).


Why do you subtract exponents when you dividing powers?

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 do you subtract the exponents?

If they have the same base, only in subtraction or division. Otherwise, you must make the bases the same first and proceed as before.


What is the quotients rule of exponents in Algebra?

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

Related Questions

When dividing two numbers with the same base?

i guess u subtract the exponents


How do you simplify exponents or powers in algebra?

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


Why do you subtract exponents when you dividing powers?

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.


What is a rule that works for multiplying powers of the same base in exponents?

To multiply powers with the same base, you add the exponents. For example, 10^2 x 10^3 = 10^5. Similarly, to divide powers with the same base, you subtract the exponents. For example, 10^3 / 10^5 = 10^(-2).


When do you subtract the exponents?

If they have the same base, only in subtraction or division. Otherwise, you must make the bases the same first and proceed as before.


What is the quotients rule of exponents in Algebra?

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


What do you do with the exponents when your adding the bases of the number?

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


What is the rule for multiplying powers with the same base and dividing power with the same base?

When multiplying powers with the same base, you add the exponents: (a^m \times a^n = a^{m+n}). Conversely, when dividing powers with the same base, you subtract the exponents: (a^m \div a^n = a^{m-n}). This rule applies as long as the base (a) is not zero.


What is a6 divided by a5?

1.2


How do you divide exponents of the same base?

By subtracting the two exponents from each other.NOTE: can only be done if the base is the same, like 23/21=22Also, make sure to subtract in the correct order, taking the top exponent and subtracting the one beneath it.


Do you subtract exponents when multiplying?

No you add them if the bases are the same.


Can divide powers with the same base by subtracting the exponents?

Yes, you can subtract the exponents, for example 5^3/5^2 = 5^3-2 = 5^1 Thats the same as 125/25 = 5