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Dvinal [7]
3 years ago
13

Use the rule for order of operations to simplify the expression as much as possible.

Mathematics
1 answer:
ratelena [41]3 years ago
7 0

Answer:

The answer to your question is 3

Step-by-step explanation:

Expression

                        3⁴ + 9² / 3³ - 9²

1.- Do the division

                        3⁴ + (9² / 3³) - 9²

Use law of exponents

                        3⁴ + (3⁴ / 3³) - 9²

                        3⁴ + 3⁴⁻³ - 9²

Simplify

                        3⁴ + 3 - 9²

2.- Convert 9² to base 3

                        3⁴ + 3 - 3⁴

3.- Simplify (associative property)

                        ( 3⁴ - 3⁴ ) + 3

4.- Result

                              3

                       

                       

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One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times sm
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<h3><u>Solution:</u></h3>

Given that, One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times smaller than the other angle.  

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\begin{array}{l}{\rightarrow 1^{\text {st }} \text { angle }=\frac{1}{6} \times 90} \\\\ {\rightarrow 1^{\text {st }} \text { angle }=15 \text { degrees }}\end{array}

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