Объяснение:
1.
а) 2×1,4^0 - 1,4² = 2 - 1,96 = 0,04
1,4^0 = 1
б) ( -5⁴/(-5)⁴ )⁴ = ( - 5⁴/5⁴)⁴ = (-1)⁴ = 1
в) (1 - 4/27 × (-3)²)³ = (1 - 4/27 × 9)³ = (1 - 4/3)³ = (3/3 - 4/3)³ = (-1/3)³ = - 1/27
2.
а) (х⁴×х²)³/х^17 = (х^6)³/х^17 = х^18/х^17 = х^18-17 = х¹ = х
б) (-1 2/7 ×а³bc^5)² = (- 9/7 × a³bc^5)² = 81/27a^6b²c^10
в) -(-2a⁴)³×2a⁴ = -(-8a^12) × 2a⁴ = 2³a^12 × 2a⁴ = 2⁴×a^16 = 16a^16
6. (-1)^n×(-1)^n×(-1)^n×(-1)n = (-1)^4n = ((-1)⁴)^n = 1^n = 1
3. (на фото)
5. (на фото)
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Answers & Comments
Объяснение:
1.
а) 2×1,4^0 - 1,4² = 2 - 1,96 = 0,04
1,4^0 = 1
б) ( -5⁴/(-5)⁴ )⁴ = ( - 5⁴/5⁴)⁴ = (-1)⁴ = 1
в) (1 - 4/27 × (-3)²)³ = (1 - 4/27 × 9)³ = (1 - 4/3)³ = (3/3 - 4/3)³ = (-1/3)³ = - 1/27
2.
а) (х⁴×х²)³/х^17 = (х^6)³/х^17 = х^18/х^17 = х^18-17 = х¹ = х
б) (-1 2/7 ×а³bc^5)² = (- 9/7 × a³bc^5)² = 81/27a^6b²c^10
в) -(-2a⁴)³×2a⁴ = -(-8a^12) × 2a⁴ = 2³a^12 × 2a⁴ = 2⁴×a^16 = 16a^16
6. (-1)^n×(-1)^n×(-1)^n×(-1)n = (-1)^4n = ((-1)⁴)^n = 1^n = 1
3. (на фото)
5. (на фото)