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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.
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When multiplying a number with exponents do you add or multiply the exponents?
You add exponents when multiplying. Ex: (xm) × (xn) = xm+n
How do you multiply numbers when it has exponents?
You should multiply the numbers, but add the exponents. For example: 92 x 27 = 189
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
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.
When you raise a power to a power what do you do with the exponents?
You multiply the exponents.
When you are multiplying exponents do you only add the exponents or do you also multiply the bases?
Add the exponents
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..
When you have two different exponents do you add them or multiply them?
Multiply
When do you know to add exponents and when to multiply exponents?
You cannot add exponents, you can only multiply. Example 3^3 it would be 3x3x3 9^3 it would be 9x9x9
When multiplying a number with exponents do you add or multiply the exponents?
You add exponents when multiplying. Ex: (xm) × (xn) = xm+n
When multiplying a number exponents that are squared do you add or multiply?
If the base numbers or variables are the same, you add the exponents.
How do you multiply numbers when it has exponents?
You should multiply the numbers, but add the exponents. For example: 92 x 27 = 189
When do add exponents?
when you multiply powers with the same base.
Do you add or multiply exponents in a fraction?
The answer depends on what you wish to achieve.
How do you raise a power to a power?
The rule is that you multiply the exponents. So if I have 2 squared and I want to raise it to the third power, you multiply the 2x3=6. When you multiply powers you add the exponents. When you raise exponents to a power you multiply. This works for rational exponents which can be used to represent roots as well.
How do you multiply exponents?
To multiply exponents you basically add them like so... if it was 7 to the power of 2 and 7 to the power of 6 you just add them together and u would get 7 to the power of 8
When you multiply polynomials what do you do with the exponents?
Add them up providing that the bases are the same.
