Question

-(2x²y³)³*(-x³y²)⁴ спростіть срочно​

Answer 1

Ответ:

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Answer 2

To simplify the expression (2x²y³)³ * (-x³y²)⁴, we can apply the rules of exponents and simplify each term separately.

Let's simplify the first term, (2x²y³)³: - Applying the exponent rule, we raise each term inside the parentheses to the power of 3: (2x²y³)³ = 2³ * (x²)³ * (y³)³ = 8x^(2*3) * y^(3*3) = 8x^6 * y^9

Now let's simplify the second term, (-x³y²)⁴: - Applying the exponent rule, we raise each term inside the parentheses to the power of 4: (-x³y²)⁴ = (-1)⁴ * (x³)⁴ * (y²)⁴ = 1 * x^(3*4) * y^(2*4) = x^12 * y^8

Finally, we multiply the simplified terms together: (2x²y³)³ * (-x³y²)⁴ = (8x^6 * y^9) * (x^12 * y^8) = 8x^6 * x^12 * y^9 * y^8 = 8x^(6+12) * y^(9+8) = 8x^18 * y^17

Therefore, the simplified expression is 8x^18 * y^17.

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