Question

2*(-1/2)⁴+8*(-1/2)³+9=????

Answer 1

Ответ:

$8\frac{1}{8}$

Пошаговое объяснение:

$2*(-\frac{1}{2} )^{4} +8*(-\frac{1}{2})^{3} +9=2*\frac{1}{2^{4} } - 8*\frac{1}{2^{3} }+9=\frac{1}{2^{3}}-8*\frac{1}{8}+9=\frac{1}{8}-1+9=8\frac{1}{8}$

Answer 2

To solve this equation, let's simplify the expression step by step.

First, let's simplify the terms involving (-1/2):

(-1/2)⁴ = (-1/2) * (-1/2) * (-1/2) * (-1/2) = 1/16

(-1/2)³ = (-1/2) * (-1/2) * (-1/2) = -1/8

Now let's substitute these values back into the original expression:

2 * (1/16) + 8 * (-1/8) + 9

= 2/16 - 8/8 + 9

= 1/8 - 1 + 9

= 1/8 - 8/8 + 9

= -7/8 + 9

Now, we need a common denominator to add the fractions:

-7/8 + 9 = -7/8 + 9/1 (converting 9 to a fraction with a denominator of 8)

To add the fractions, we need the same denominator, which is 8:

-7/8 + 9/1 = -7/8 + 9 * 8/8

= -7/8 + 72/8

Now that the fractions have the same denominator, we can add them:

-7/8 + 72/8 = (72 - 7)/8

= 65/8

So, the value of the expression 2 * (-1/2)⁴ + 8 * (-1/2)³ + 9 is 65/8.