Question

X-5/2 + x-1/8 - x-3/4 + x-4/3​

Answer 1

Ответ:-113/24+2х

Пошаговое объяснение:

-113/24+х+х

-113/24+2х

Answer 2

Ответ:

$x - \frac{5}{2} + x - \frac{1}{8} - \frac{3}{4} x + x - \frac{4}{3} \\ \frac{9}{4} x - \frac{95}{24}$

x-5/2 + x-1/8 - x-3/4 + x-4/3

x-5/2+x-1/8-3/4x+x-4/3

9/4x-95/24

Answer 3

To simplify the expression, let's combine the terms with the same exponent for x.

x^(-5/2) + x^(-1/8) - x^(-3/4) + x^(-4/3)

To combine these terms, we need to find a common denominator for the exponents. In this case, the least common multiple (LCM) of 2, 8, 4, and 3 is 24.

Multiplying each term by the appropriate factor to get a common denominator:

x^(-5/2) * (x^(12/12)) + x^(-1/8) * (x^(3/3)) - x^(-3/4) * (x^(6/6)) + x^(-4/3) * (x^(8/8))

Simplifying:

x^(-30/24) + x^(3/24) - x^(-18/24) + x^(-32/24)

Now that we have a common denominator, we can combine the terms:

x^(-30/24 + 3/24 - 18/24 - 32/24)

Simplifying further:

x^(-77/24)

Therefore, the simplified expression is x^(-77/24).