Question

3x×(2x) в 3 степени4b×(3b) в 3 степени-2a(ab) во 2 степени

Answer 1

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Answer 2

To simplify the expression, let's follow the order of operations (PEMDAS):

1. Parentheses
2. Exponents
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)

The expression is: 3x × (2x)^3 × 4b × (3b)^3 × (-2a(ab))^2

1. Start with the exponents inside the parentheses: (2x)^3 = (2^3) × x^3 = 8x^3 (3b)^3 = (3^3) × b^3 = 27b^3 (-2a(ab))^2 = (-2)^2 × (a(ab))^2 = 4a^2(a^2b^2) = 4a^4b^2

2. Now, substitute the simplified expressions back into the original expression: 3x × 8x^3 × 4b × 27b^3 × 4a^4b^2

3. Perform the multiplications: 3 × 8 × 4 × 27 × 4 = 8,640

4. Combine the x terms: x × x^3 = x^(1+3) = x^4

5. Combine the b terms: b × b^3 = b^(1+3) = b^4

6. Combine the a terms: a^4 × b^2

Now, the simplified expression is: 8,640x^4b^4a^4b^2

You can further simplify this expression by combining the variables: Final answer: 8,640x^4b^6a^4