0.0069
You would follow the order of operation and take both numbers to their exponent and then add them. 8^-2 + 6^-2 is not 14^-2, nor anything else. you could reciprocate, then add 1/8^2 + 1/6^2 1/64 + 1/36 = 25/576
Exponents describe mathematical operations that can also be written in other ways (although not necessarily in the form of an equation). For example, 103 can also be written as 10 x 10 x 10. The exponent is more succinct. When you get to a number such as 10100 then the exponent is much more succinct. But you could still write it out if you wanted to.
Exponents usually refer to things like squared (x2) or cubed (x3), but can also be used to express fractions (division) and square roots. So division can be expressed as a power (exponent). Let's use 4 as an example. 42 = 16 41/2 = 2 (this is the square root of 4) 4-2 = 1/16 = 1/(42) (negative indicates the reciprocal, so this becomes one OVER four squared, rather than 4 squared) So if you are asked to find the exponent that is equivalent to 1/25, you could say it is 5-2 (OR 25-1) Hope this helps.
No, an exponent is not called a base number. the base is the number before the exponent: 34. 3 is the base, 4 is the exponent the expont could also be refered to as three to the fourth power
That is the way it is defined; in theory, it could be defined any other way. But the definition commonly used makes several rules maintain their validity, for example, the law about adding exponents - even when the exponent is negative.Consider this sequence:103 = 1000102 = 100101 = 10100 = 110-1 = 1/1010-2 = 1/100Every time the exponent is reduced by one, the result gets reduced by a factor of 10. So, it seems logical to continue this pattern for a zero or negative exponent. Mind you, this is no proof - after all, the negative exponents is a matter of definitions, not of proof. The above only merely shows that the definition is reasonable.That is the way it is defined; in theory, it could be defined any other way. But the definition commonly used makes several rules maintain their validity, for example, the law about adding exponents - even when the exponent is negative.Consider this sequence:103 = 1000102 = 100101 = 10100 = 110-1 = 1/1010-2 = 1/100Every time the exponent is reduced by one, the result gets reduced by a factor of 10. So, it seems logical to continue this pattern for a zero or negative exponent. Mind you, this is no proof - after all, the negative exponents is a matter of definitions, not of proof. The above only merely shows that the definition is reasonable.That is the way it is defined; in theory, it could be defined any other way. But the definition commonly used makes several rules maintain their validity, for example, the law about adding exponents - even when the exponent is negative.Consider this sequence:103 = 1000102 = 100101 = 10100 = 110-1 = 1/1010-2 = 1/100Every time the exponent is reduced by one, the result gets reduced by a factor of 10. So, it seems logical to continue this pattern for a zero or negative exponent. Mind you, this is no proof - after all, the negative exponents is a matter of definitions, not of proof. The above only merely shows that the definition is reasonable.That is the way it is defined; in theory, it could be defined any other way. But the definition commonly used makes several rules maintain their validity, for example, the law about adding exponents - even when the exponent is negative.Consider this sequence:103 = 1000102 = 100101 = 10100 = 110-1 = 1/1010-2 = 1/100Every time the exponent is reduced by one, the result gets reduced by a factor of 10. So, it seems logical to continue this pattern for a zero or negative exponent. Mind you, this is no proof - after all, the negative exponents is a matter of definitions, not of proof. The above only merely shows that the definition is reasonable.
0.0069
When you have a negative exponent (for example 3^-3) you could make the recipricol of the number. So, this would be 1/3^3. Then all that you would have to do is solve for the exponent ( so in this case the answer would be 1/27)
You would follow the order of operation and take both numbers to their exponent and then add them. 8^-2 + 6^-2 is not 14^-2, nor anything else. you could reciprocate, then add 1/8^2 + 1/6^2 1/64 + 1/36 = 25/576
Exponents describe mathematical operations that can also be written in other ways (although not necessarily in the form of an equation). For example, 103 can also be written as 10 x 10 x 10. The exponent is more succinct. When you get to a number such as 10100 then the exponent is much more succinct. But you could still write it out if you wanted to.
The base could be 11 and the exponent 2, giving 112 But, it could equally be base = 14641, and exponent = 0.5, or base = 10, and exponent = 2.082785 (approx)
Exponents usually refer to things like squared (x2) or cubed (x3), but can also be used to express fractions (division) and square roots. So division can be expressed as a power (exponent). Let's use 4 as an example. 42 = 16 41/2 = 2 (this is the square root of 4) 4-2 = 1/16 = 1/(42) (negative indicates the reciprocal, so this becomes one OVER four squared, rather than 4 squared) So if you are asked to find the exponent that is equivalent to 1/25, you could say it is 5-2 (OR 25-1) Hope this helps.
The question is not specific enough. The word exponent has several meanings. Thus, an exponent of an exponent could refer to a person who is an expert promoter of the mathematical concept of the indices or powers of numbers.
The two are related. The answer could be base 2, exponent 18 or base 8, exponent 6 or base 10, exponent 5.4185 or base 262144, exponent 1 or base 68,719,476,736 and exponent 0.5
NEITHER! Look at 4+8 which you know is 12 4 is 2^2 and 8 is 2^3 2^2+2^3=12 but no power of 2 is equal to 12? So the answer is NEITHER. When you multiply numbers, you add the exponents and when you raise and exponent to a power, you multiply exponents. In the example i gave, you could factor out the smallest power and you have 2^2(1+2)=2^2x3=4x3=12 That is how you do this type of problem. Either raise the numbers to their powers and add them, or factor and add.
A number with a negative exponent can be represented as so: If you have: 2^-6 Then you could express it as: 1/2^6 In other words: x^-y (x to the negative y power) = 1/x^y (1 over x to the y power). This is because, for example 3^x: 3^3 = 27 3^2 = 9 3^1 = 3 So far, the numbers are being divided by three as x decreases... 3^0 = 1 Still divided by three... 3^-1 = 1/3 Now it's logical to say that you could divide this by 3 again... Divide by three again... 3^-1 = (1/3)/3 = 1/9 As you see 3^-x = 1/3^x
No, an exponent is not called a base number. the base is the number before the exponent: 34. 3 is the base, 4 is the exponent the expont could also be refered to as three to the fourth power