Simplify (x ^ (6/5))/(x ^ 453) (1 point)
(x ^ (6/5))/(x ^ 453) can be simplified by using one of the rules of exponents, which states that when dividing two exponents with the same base, you subtract the exponents.
In this case, the base is x, and the exponents are (6/5) and 453. So, the simplified form is written as:
x ^ ((6/5) - 453)
To further simplify this, we can find the common denominator of 5 for the exponent, which gives:
x ^ ((6 - (453 * 5))/5)
x ^ ((6 - 2265)/5)
Finally, we subtract to find the exponent:
x ^ (-2259/5)
So, the simplified form is x ^ (-2259/5).
To simplify (x ^ (6/5))/(x ^ 453), we can use the property of exponents which states that when dividing terms with the same base, we subtract the exponents.
In this case, since we have x^(6/5) divided by x^453, we can rewrite it as x^(6/5 - 453).
Simplifying the exponent gives us x^(-453 + 6/5). Now, we need to have a common denominator for the fractional exponent.
The common denominator for 5 and 1 is 5. So, we can rewrite the exponent as x^(-453(5/5) + 6/5).
Using the distributive property, this becomes x^((-453 * 5 + 6)/5). Simplifying further gives us x^((-2265 + 6)/5).
Now, subtracting the numbers in the numerator, we have x^(-2259/5).
So, the simplified expression is x^(-2259/5).