If you mean scientific notation, you must first convert the numbers so they have the same exponent. Example: 2 x 107 + 5 x 106 = 20 x 106 + 5 x 106 = 25 x 106. (You can also convert both numbers to 107 in this case).
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..
Fractional exponents follow the same rules as integral exponents. Integral exponents are numbers raised to an integer power.
Same.
Exponents represent repeated multiplication of a base number, and the rules of exponents state that when multiplying two powers with the same base, you add the exponents (e.g., (a^m \times a^n = a^{m+n})). However, when you have a product with exponents, you cannot simply add the exponents because they represent different operations. Each exponent is tied to its specific base, so adding them would misrepresent the actual multiplication of the numbers involved. For example, (a^m \times b^n) cannot be simplified by adding the exponents since (a) and (b) are different bases.
This is effectively the same as lining up the decimal points when adding or subtracting ordinary decimal fractions.
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..
Fractional exponents follow the same rules as integral exponents. Integral exponents are numbers raised to an integer power.
In a multiplication problem with exponents, one should not multiple the exponents. Rather, it would be correct to multiply the numbers while adding the exponents together.
Same.
Exponents represent repeated multiplication of a base number, and the rules of exponents state that when multiplying two powers with the same base, you add the exponents (e.g., (a^m \times a^n = a^{m+n})). However, when you have a product with exponents, you cannot simply add the exponents because they represent different operations. Each exponent is tied to its specific base, so adding them would misrepresent the actual multiplication of the numbers involved. For example, (a^m \times b^n) cannot be simplified by adding the exponents since (a) and (b) are different bases.
This is effectively the same as lining up the decimal points when adding or subtracting ordinary decimal fractions.
When adding or subtracting numbers in scientific notation, the exponents must be the same to ensure that the terms are expressed in the same scale. Scientific notation represents numbers as a product of a coefficient and a power of ten, so if the exponents differ, the values are on different scales, making direct addition or subtraction impossible. By adjusting the numbers to have the same exponent, you can accurately combine the coefficients before simplifying the result back into proper scientific notation.
When multiplying something with exponents, you add it. When dividing something with exponents, you subtract it.
All numbers can be expressed using exponents.
When adding numbers with exponents, you can only combine the terms if they have the same base and the same exponent. For example, (2^3 + 2^3) can be simplified to (2 \times 2^3 = 2^4), which equals (16). However, if the bases or exponents differ, you cannot combine them directly; you must leave them as separate terms.
It is linear because you're just adding numbers. There are no exponents.
nothing, keep the exponents the same, remember you can only add or subtract when the exponents are the same