Whole numbers raised to an exponent increase because multiplying a whole number by itself repeatedly results in a larger product. Conversely, fractions (a number less than one) raised to an exponent get smaller because each multiplication reduces the value further; for example, multiplying 0.5 by itself yields 0.25, which is less than 0.5. Thus, the behavior of whole numbers and fractions under exponentiation is fundamentally different due to their values relative to one.
Whole numbers greater than one raised to an exponent increase because multiplying a number by itself repeatedly results in a larger value. In contrast, fractions (numbers between 0 and 1) raised to an exponent decrease because each multiplication reduces the value further, as each factor is less than one. Thus, while whole numbers amplify their size, fractions diminish with each exponentiation.
If you have a power, the "base" is the large number to the left; the "exponent" is the raised (and smaller) number to the right.
an exponent
Yes.
Whole numbers raised to an exponent increase because multiplying a whole number by itself repeatedly results in a larger product. Conversely, fractions (a number less than one) raised to an exponent get smaller because each multiplication reduces the value further; for example, multiplying 0.5 by itself yields 0.25, which is less than 0.5. Thus, the behavior of whole numbers and fractions under exponentiation is fundamentally different due to their values relative to one.
Whole numbers greater than one raised to an exponent increase because multiplying a number by itself repeatedly results in a larger value. In contrast, fractions (numbers between 0 and 1) raised to an exponent decrease because each multiplication reduces the value further, as each factor is less than one. Thus, while whole numbers amplify their size, fractions diminish with each exponentiation.
Yes, you can, but it starts getting complicated. You can, for example have a number raised to an exponent that is itself a number raised to an exponent, or you can have a number raised to an exponent and the result raised to another exponent.
If you have a power, the "base" is the large number to the left; the "exponent" is the raised (and smaller) number to the right.
The exponent.
An exponent just tells how many times a number is multiplied by itself. With whole numbers, if you keep multiplying them, they have to increase. 3 x 3 is 9, 3 x 3 x 3 is 27 and so on. Taking a half of anything makes it smaller. 1/2 x 1/2 is 1/4, 1/2 x 1/2 x 1/2 is 1/8 and so on.
8
an exponent
its called a base :)
Yes.
In calculating fractions.
The power could then be called an exponent. The number that is being raised to a power is called the base. In the case of 42, the exponent is 2 and the base is 4.