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Exponential Numbers image - Coggle Diagram
Exponential Numbers 
Exponential Subtraction
subtraction in fractions
In order to subtract the denominators in unequal fractions, we need to equate the denominators of those fractions. If one denominator is a multiple of the other, we expand the small denominator fraction to equalize the denominators.
Subtraction can be made between exponential numbers that have the same bases and exponents. Addition and subtraction are done between the coefficients of exponential numbers. If the coefficient is not written, it is taken as 1.
Multiplying Exponentials
When exponential numbers with the same bases are multiplied, exponents are added together and written to the common base as exponent. When multiplying exponents with the same exponents, the bases are multiplied and the common exponent is written exactly
Multiply fractions
If the bases are equal in multiplication, the bases are summed up. If the bases are equal and the bases are different, the bases will be distorted and the common exponent will remain the same. The same is done for exponential numbers with a fractional base.
Dividing Exponential Numbers
For exponential numbers with the same bases, the exponent of the denominator is subtracted from the exponent of the numerator, and the common base is written as exponent. For exponential numbers with the same exponents, the bases are divided and the common exponent is written exactly.
Division by exponential fractions
Numbers with the same bases subtract exponents. If the exponents are equal, the bases are divided.
Addition In Exponential Numbers
To add exponents, both the exponents and variables should be alike. You add the coefficients of the variables leaving the exponents unchanged. Only terms that have same variables and powers are added. This rule agrees with the multiplication and division of exponents as well.
Addition exponent in fractional numbers
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Exponential Numbers Rule
Numbers with a power of 1 are equal to itself. x1 = x where x is a real number. If the bases of the numbers divided into each other are the same, the division is done by subtracting between their exponents. The bases of exponential numbers with different bases are divided into each other and the exponents are written as common exponents.
Numbers With Negative Exponents
The base of integers with a negative exponent is the denominator of a rational number whose numerator is 1. The exponent becomes the exponent of this rational number.
negative power fractional numbers
If the exponential expression is multiplied by a number, that number becomes the factor of the exponential rational number. If the power of a fractional expression is negative, that fraction can be inverted to make the exponent positive.