The question depends on whether you mean the base is a fraction or the power. It is not clear from the question and the answer will depend on which it is.
The laws of exponents work the same with rational exponents, the difference being they use fractions not integers.
3/4-2
Uranus's gravity is far stronger than earths.
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..
The laws of exponents work the same with rational exponents, the difference being they use fractions not integers.
3/4-2
Uranus's gravity is far stronger than earths.
x4 / 2x4 396(x2 + y2) / 396(2x2 + 2y2)
When multiplying two values of the same base raised to different exponents, all you need to do is add the exponents. Similarly, when dividing them, you can simply subtract the exponents. In the case of roots, the exponents are actually fractions, so you get: x1/2 ÷ x1/3 = x(1/2 - 1/3) = x(3/6 - 2/6) = x1/6
This is effectively the same as lining up the decimal points when adding or subtracting ordinary decimal fractions.
The exponents are added.
You cannot ad or subtract variables with different exponents: the exponents must be the same. The coefficients are added or subtracted and the exponent of the answer is the common exponent. (The rules are similar to those for the denominators of fractions.)Thus 2x^2 + 5x^3 cannot be combined into a single term.while 2x^2 + 5x^2 = (2+5)*x^2 = 7x^2
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..
A rational exponent means that you use a fraction as an exponent, for example, 10 to the power 1/3. These exponents are interpreted as follows, for example:10 to the power 1/3 = 3rd root of 1010 to the power 2/3 = (3rd root of 10) squared, or equivalently, 3rd root of (10 squared)
Fractional exponents follow the same rules as integral exponents. Integral exponents are numbers raised to an integer power.
When you multiply fractions together, you multiply the numerators together to get the numerator of the answer and you multiply the denominators together to get the denominator of the answer. For example: 1/2 * 2/3 = (1*2)/(2*3) = 2/6 = 1/3. When multiplying exponents of the same base together, you simply add the two exponents and make that the exponent of the same base. For example: 22 * 23 = 25 = 32. Or for the algebra-savvy: x2 * x3 = x5.