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umka2103 [35]
3 years ago
6

Directions:Use the power rule to simplify the following monomials.

Mathematics
1 answer:
Rom4ik [11]3 years ago
7 0

Step-by-step explanation:

Easy:)

7)4a^{8}b^{12} \\8)25x^{6}y^{8}\\9)x^{9}y^{9}×xy^{2}

=x^{10}y^{11}

10)a^{3}×a^{8}b^{4}

=a^{11}b^{4}

11)4a^{2}b^{4}×9a^{4}b^{2}

=36a^{6}b^{6}

Have a nice day! :)

-Vana

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The value of the expression as given in the task content is; 3/16.

<h3>What is the value of the expression as given in the task content?</h3>

It follows from the task content that the value of the expression as in the task content can be evaluated by means of PEMDAS guidelines as follows;

1/2 - 1/4 ÷ 4/5

= 1/2 - 5/16

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Answer:

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b). y = 45°

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Step-by-step explanation:

Since sum of interior angles of a regular polygon is represented by,

Sum of interior angles = (n - 2) × 180°

Here n = number of sides

For a regular octagon, n = 8

Sum of interior angles = (8 - 2) × 180° = 1080°

And measure of one interior angles = \frac{\text{Sum of interior angles}}{n}

                                                         x = \frac{1080}{8}

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From the figure attached,

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Therefor, m∠ECD = \frac{135}{6} = 22.5°

Since ∠ECD ≅ ∠CED,

m∠CED = 22.5°

Since m∠E = 135°

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112.5 + 22.5 + z = 180

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m∠CGF + m∠CFG + m∠GCF = 180°

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270 - (y + z) + 22.5 = 180

292.5 - (y + 45) = 180

247.5 - y = 180

y = 247.5 - 180

y = 67.5°

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3 years ago
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