Question

3. Порівняйте 1) (-1)³ і (-1)⁶2) -1,5² і ( - 1,5)²3) (-3,4)³ і (- 3,4)²​

Answer 1

Ответ:

Пошаговое объяснение:

-1^3  -1^6; -1 < 1

-1.5^2 = (-1.5)^2

(-3.4)^3 < -3,4^2 так как если степень парная то -a^2 = a

Answer 2

1) (-1)³ = -1^3 = -1

(-1)⁶ = (-1)^6 = 1

When raising -1 to an odd power (like 3), the result is -1. When raising -1 to an even power (like 6), the result is 1.

Therefore, (-1)³ = -1 and (-1)⁶ = 1.

2) (-1.5)² = (-1.5) * (-1.5) = 2.25

(+-1.5)² = (-1.5) * (-1.5) = 2.25

When squaring a negative number, the result is always positive.

Therefore, (-1.5)² = 2.25 and (+-1.5)² = 2.25.

3) (-3.4)³ = (-3.4) * (-3.4) * (-3.4) = -39.304

(-3.4)² = (-3.4) * (-3.4) = 11.56

When raising a negative number to an odd power (like 3), the result will be negative. When squaring a negative number, the result will be positive.

Therefore, (-3.4)³ = -39.304 and (-3.4)² = 11.56.

In summary:

1) (-1)³ = -1 and (-1)⁶ = 1 2) (-1.5)² = 2.25 and (+-1.5)² = 2.25 3) (-3.4)³ = -39.304 and (-3.4)² = 11.56