Question

Сравните с нулём значения выражения 1) -(-8)4 - (-8)5 ; 2) (-16)4 : 168 .

Answer 1

1. -(-8)4-(-8)5 = 32-40 = -8

-8 < 0

2. (-16)4:168 = -64:168 ≈ -0,4

-0,4 < 0

Answer 2

Объяснение:

1) -(-8)⁴ - (-8)⁵ = -4096 - (-32768) > 0

2) (-16)⁴ : 168 = 65536 : 168 > 0

Answer 3

1. -(-8)4 - (-8)5:

To simplify this expression, let's first focus on the negative signs. Remember that the negation of a negative number is a positive number. Therefore, -(-8) becomes 8.

Now we have:

8 * 4 - 8 * 5

Next, we can perform the multiplication:

32 - 40

Finally, subtracting 40 from 32 gives us:

-8

So, the value of the expression -(-8)4 - (-8)5 is -8.

2. (-16)4 : 168:

In this expression, the colon symbol ":" represents division.

Let's calculate it step by step:

(-16)4 means multiplying -16 by itself four times:

(-16)4 = -16 * -16 * -16 * -16

This gives us a positive value because even powers of negative numbers are positive:

256 * 256 = 65536

Now, we can divide the result by 168:

65536 : 168

Performing the division, we get:

390.85714285714285714285714285714

Rounded to a reasonable number of decimal places, the value is approximately 390.86.

So, the value of the expression (-16)4 : 168 is approximately 390.86.