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What is the rule for multiply numbers with the same base but different exponents?

base x base result x Exponent


What is the general rule for dividing exponents with the same base?

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)


Which of the two Properties of Exponents require that the base of the exponent be the same in order to use that property?

i don no:(


How do you divide a exponent?

If you have the same base on both of the exponents that you are dividing, all you have to do is subtract the exponent. For example if I have a problem like: 66/ 63, your answer will be 63.


How do you add expontents?

If you mean ' "When" do you add exponents? ' then the answer is when the same base of equal or different exponents is multiplied. in other words, when you hav "3 exponent 3 times 4 exponent 5 " you can't add the exponents because the bases (3 and 4) aren't the same.


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.


Why don't we change the exponents during like terms?

Exponents are higher in priority in terms of the order of operations, and do not combine in the same way as you would simple add/subtract/multiply/divide. So, if you have: 26 + 24 This is a polynomial in base 2 with different powers. It would be this in binary: 1010000 ...which would not be the same as 210: 1000000000 In order to be able to change exponents, you have to be multiplying factors using the same base, as in: 26 * 24 = 210 ...because the exponents are also indicating how many times you are multiplying each base by itself, and multiplication is the same as the basal function of the exponent (repeated multiplication).


Do you add exponents or multiply them?

Remember, all numbers have exponents, but most of the time, the exponent is 1 so we can basically ignore it. For example, 2^1 = 2. 2^2 is the same thing as 2^1 X 2^1 or 2 X 2. From this example, you can see that 2^2 = 2^(1+1). 2^3 is the same thing as 2^2 X 2^1 and so on... So, whenever you see two fractions with the same base being multiplied by each other, you add the bases. x^6 X x^3 = x^(^+3) = x^9 For division, you subtract the exponent from the top from the exponent on the bottom. x^6 ----- = x^3 x^3 -------------------------------------------------------------------------- Easy rules: Same base, multiplied, add the exponents and keep the base. EX: (x3 )(x5 ) = x8 multiplying with same base (x) so add the exponents. BUT an exponent raised to an exponent, then multiply. EX: (x3 )5 = x15 , EXPONENT RAISED OT ANOTHER EXPONENT, MULTIPLY.


How do you change negative exponents to positive exponents?

If you have 10^-3 then you can consider it the same as (1/10^3) and you have changed the negative exponent to positive exponent. Similarly, if the original number is (1/10^-3), that is equivalent to 10^3. In most cases it is as simple as taking the reciprocal.


Is there a relationship between the exponents of the base and the exponent of the product?

When multiplying numbers with the same base and different or same exponents, the product is the base to the power of the sum of the exponents of the multiplicands. Examples: 52 x 57 x 510 = 519 n x n4 = n5 75 ÷ 72 = 75 x 7-2 = 73 22 x √2 = 22 x 20.5 = 22.5


If two exponents have the same factor or base what happens to the exponents when the exponents are multipled?

The exponents are added.


When asked to divide a term with a exponent by the same term with an exponent?

If you divide two common bases, you can subtract their exponents as an equivalent operation.