Question

1)0,6х^2у(-0,5х^5у^7)= 2)0,6х^4(-10х^4)^3= 3)(2а^7х^12)^4*1/8ах= 4)3а^3(2а^2-4)=

Answer 1

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Answer 2

1. When multiplying two terms with the same base (in this case, x and y), you can add their exponents. Therefore, we have:

0.6 * x^2 * y * (-0.5 * x^5 * y^7) = -0.3 * x^(2+5) * y^(1+7) = -0.3 * x^7 * y^8

So the result is -0.3x^7y^8.

2. When raising a term to a power, you can multiply the exponents. Therefore, we have:

0.6 * x^4 * (-10x^4)^3 = 0.6 * x^4 * (-10)^3 * x^(4*3) = -21600x^16

So the result is -21600x^16.

3. When raising a term to a power, you can multiply the exponents. Therefore, we have:

(2a^7x^12)^4 * (1/8ax) = 16a^(74) * x^(124) * (1/8ax) = 2a^28x^48/ax = 2a^27x^48

So the result is 2a^27x^48.

4. To multiply these two terms, you can use the distributive property. Therefore, we have:

3a^3(2a^2-4) = 6a^5 - 12a^3

So the result is 6a^5 - 12a^3.