Question

1) (-x⁶y)³•11x⁴y⁵ 2) (-0,6a³b⁵c⁶)²•3a²c⁸

Answer 1

Ответ:

Объяснение:

(-x⁶y)³·11x⁴y⁵=-11x^(6·3+4) ·y³⁺⁵=-11x²²y⁸

(-0,6a³b⁵c⁶)²·3a²c⁸=3²⁺¹/5² ·a^(3·2+2) ·b^(5·2) ·c^(6·2+8)=27/25 ·a⁸b¹⁰c²⁰=1,08a⁸b¹⁰c²⁰

Answer 2

To simplify the given expressions, let's expand the powers and perform the necessary multiplications.

1. (-x⁶y)³ • 11x⁴y⁵

Expanding the powers: (-x⁶y)³ = (-1)³ • x⁶³ • y³ = -x¹⁸y³ 11x⁴y⁵ remains as it is.

Multiplying the terms: (-x¹⁸y³) • (11x⁴y⁵) = -11x¹⁸⁺⁴ • y³⁺⁵ = -11x²² • y⁸

Therefore, the simplified form of the expression is -11x²²y⁸.

2. (-0.6a³b⁵c⁶)² • 3a²c⁸

Expanding the powers: (-0.6a³b⁵c⁶)² = (-0.6)² • a³² • b¹⁰ • c¹² 3a²c⁸ remains as it is.

Multiplying the terms: (-0.6)² • a³² • b¹⁰ • c¹² • 3a²c⁸ = 0.36a³² • b¹⁰ • c¹² • 3a²c⁸ = 1.08a³⁴ • b¹⁰ • c²⁰

Therefore, the simplified form of the expression is 1.08a³⁴b¹⁰c²⁰.