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What do you do if the base number is not a fraction but the exponent is a fraction?
Wiki User
∙ 9y ago
Consider have x^(p/q)
where the base, x, is a whole number. p and q are also whole numbers (q is not 0) so that the exponent, p/q, is a fraction.
Then
x^(p/q) = (x^p)^(1/q), that is, the qth root of x^p
or equivalently,
x^(p/q) = [x^(1/q)]^p, that is, the pth power of the qth root of x.
For example,
64^(2/3) = 3rd root of 64^2 = 3rd [cube] root of 4096 = 16
or
(cube root of 64)^2 = 4^2 = 16.
If p/q is negative, the answer is the reciprocal of the answer obtained with positive p/q.
Wiki User
∙ 9y ago
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Why is a number to a negative exponent a fraction?
Because a number to the exponent 0 = 1 and any lesser exponent decreases the value.
How do you change a fraction base with an exponent in an equation?
The answer will depend on what you wish to change it to!
When a base of an exponential expression is apositive real number and exponent is an integer?
Then, if the exponent is a positive integer, the value is 1 multiplied by the base repeatedly, exponent times. If the exponent is a negative integer then it is the reciprocal of the above value.In either case, it is NOT the base multiplied by itself an exponent number of times.
I am a number that tells how many times the base is used as a factor?
A exponent is a number that tells how many times a base is used to factor. This is used in math.
What is the small number hanging in the upper right of a number called?
It is an exponent that tells you of what power the base number is to be raised by.
What is the base of an exponent?
The base of an exponent is the main number. For example in 56 the number 5 is the base and 6 is the exponent.
Which number is the exponent and which is the base?
If you have ab then a is the base and b the exponent
Is an exponent also called a base number?
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
What is base to exponent to fraction?
(2a3)(10a5)/4a1
What is the definition of base number?
A base number is the value to the power of the exponent. For example, in 2^4, 2 is the base number and 4 is the exponent.
Why is a number to a negative exponent a fraction?
Because a number to the exponent 0 = 1 and any lesser exponent decreases the value.
How do you know what the base is?
a base is the the number that is with the exponent
Why can an exponent be a fraction or decimal?
Why not? An exponent is just like any other number.
What is the difference between base number and the exponent?
In their simplest forms, a base number is the number that is being multiplied by itself while the exponent is the number of times that the base is multiplied.
A number produced by raising a base to an exponent?
A number produced by raising a base to an exponent is called?
How do you change a fraction base with an exponent in an equation?
The answer will depend on what you wish to change it to!
Definition of Base as math term?
The base number is the the number that is being repeatedlymultiplied in exponent problems. Example: 32 _ three is the base and two is the exponent
