Question

Help (-1/3a^5b^9)^3*(-3ab)^4 15a^2b^3= 0,5a^6b^9= -5/3a^4b^6=

Answer 1

Ответ:

Объяснение:

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Answer 2

It seems like you want to simplify the expression (-1/3a^5b^9)^3 * (-3ab)^4 and find the values of 15a^2b^3, 5a^6b^9, and -5/3a^4b^6 based on this expression. Let's break it down step by step:

First, let's simplify the expression:

(-1/3a^5b^9)^3 * (-3ab)^4

To simplify this expression, you need to raise each part to the indicated exponent:

(-1/3a^5b^9)^3 = (-1/3)^3 * (a^5)^3 * (b^9)^3 (-3ab)^4 = (-3)^4 * (a^1)^4 * (b^1)^4

Now, calculate the values:

(-1/3)^3 = -1/27 (a^5)^3 = a^(53) = a^15 (b^9)^3 = b^(93) = b^27 (-3)^4 = 81 (a^1)^4 = a^4 (b^1)^4 = b^4

Now, multiply these values together:

(-1/27) * a^15 * b^27 * 81 * a^4 * b^4

Next, simplify further by multiplying constants and combining like terms:

(-1/27) * 81 = -3

Now, combine the like terms with the same base (a and b):

a^15 * a^4 = a^(15+4) = a^19 b^27 * b^4 = b^(27+4) = b^31

So, the expression simplifies to:

-3a^19b^31

Now, you can use this simplified expression to find the values of 15a^2b^3, 5a^6b^9, and -5/3a^4b^6:

1. 15a^2b^3: Multiply -3a^19b^31 by (1/5) to find 15a^2b^3: (1/5) * (-3a^19b^31) = -3/5 * a^19 * b^31

2. 5a^6b^9: Divide -3a^19b^31 by (-1/3a^4b^6) to find 5a^6b^9: (-3a^19b^31) / (-1/3a^4b^6) = 9a^15 * b^25

3. -5/3a^4b^6: Divide -3a^19b^31 by (15a^2b^3) to find -5/3a^4b^6: (-3a^19b^31) / (-3/5 * a^19 * b^31) = 5/5 = 1

So, based on the simplified expression -3a^19b^31:

• 15a^2b^3 = -3/5 * a^19 * b^31
• 5a^6b^9 = 9a^15 * b^25
• -5/3a^4b^6 = 1