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rosijanka [135]
3 years ago
15

HELP I DON'T UNDERSTAND

Mathematics
1 answer:
miv72 [106K]3 years ago
8 0
X^2 - 12x  = 61
Take half of the coefficient of the middle term (half of -12x), square this result, and then add, and then subtract, from -12x:

x^2 - 12x + (6)^2 - (6)^2     = 61

    (x-6)^2 - 36 = 61, and so   (x-6)^2 = 97

Note:  These results are all equivalent; choose the one you think best.
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The simplified expression of (x^0 y^2/3 z^-2y^)^2/3 divided by (x^2 z^1/2)^-6 is x^(12) y^(10/9) z^(-1/3)

<h3>How to simplify the expression?</h3>

The algebraic statement is given as:

(x^0 y^2/3 z^-2y^)^2/3 divided by (x^2 z^1/2)^-6

Rewrite the algebraic statement as:

[(x^0 y^2/3 z^-2y)^2/3]/[(x^2 z^1/2)^-6]

Evaluate the like factors

[(x^0 y^(2/3+1) z^-2)^2/3]/[(x^2 z^1/2)^-6]

Evaluate the sum

[(x^0 y^5/3 z^-2)^2/3]/[(x^2 z^1/2)^-6]

Expand the exponents

[(x^(0*2/3) y^(5/3 * 2/3)z^(-2*2/3)]/[(x^(2*-6) z^(1/2*-6)]

Evaluate the products

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Apply the quotient law of indices

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Evaluate the sum of exponents

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Hence, the simplified expression of (x^0 y^2/3 z^-2y^)^2/3 divided by (x^2 z^1/2)^-6 is x^(12) y^(10/9) z^(-1/3)

Read more about simplified expression at:

brainly.com/question/723406

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