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Citrus2011 [14]
3 years ago
15

Use the laws of exponents to express 9-3/2 · 82/3 as a simple fraction. Show the steps in the simplification

Mathematics
1 answer:
Amanda [17]3 years ago
6 0

Answer:

4/27

Step-by-step explanation:

The laws of exponent are used for the simplification of expressions with exponential powers. Considering the given expression, the applicable laws of exponents are

a^-x = (1/a)^x

and

a^(x/b) = b√a^x

Hence

9-3/2 · 82/3

= (1/9)^3/2 . 8^2/3

= √(1/9)³ . ∛8²

= (1/3)³ . 2²

= 1/27 . 4

= 4/27

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What is the dollar value of 7 nickels and 8 quarters
victus00 [196]

Answer:

$2.35

Step-by-step explanation:

Nickels are worth 5 cents each and quarters are worth 25 cents.

7 nickels = 7 * 5 cents = 35 cents

8 quarters = 8 * 25 cents = 200 cents

Total = 200 + 35 = 235 cents

There are 100 cents per dollar, so we can find the dollar value by:

235/100 = $2.35

7 0
2 years ago
How do I show my work for 25 x 3/5=15​
stepladder [879]
Cut 25 with 5
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5 0
2 years ago
Which expression is not a perfect square trinomial?
puteri [66]

Answer:

Remember that a perfect square trinomial can be factored into the form (a+b)^2

or (a-b)^2

Examples:

(x+2)(x+2) is a perfect sq trinomial --> x^2+4x+4

(x-3)(x-3) is a perfect sq trinomial --> x^2-6x+9

(x+2)(x-3) is not a perfect square trinomial because its not in the form (a+b)^2 or (a-b)^2

Now to answer your question,

for the first one, x^2-16x-64, you cannot factor it so it is not a perfect square trinomial

for the second one, 4x^2 + 12x + 9, you can factor that into (2x+3)(2x+3) = (2x+3)^2 so this is a perfect square trinomial

for the third one, x^2+20x+100 can be factored into (x+10)(x+10) so this is also a perfect square trinomial

for the fourth one, x^2+4x+16 cannot be factored so this is not a perfect square trinomial

Therefore, your answer is choices 2 and 3

Read more on Brainly.com - brainly.com/question/10522355#readmore

Step-by-step explanation:

8 0
2 years ago
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I need help don't know what to do
givi [52]
Substitute 5 for g so...
5 times 11 =55
5 0
2 years ago
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What does the missing number represent?
kenny6666 [7]

Answer: (C) the number of groups

Step-by-step explanation: It cannot be the total because the total is 18, the size of the groups does not make sense because it seems that you are trying to find a total, and the difference makes no sense because this does not seem like a subtraction problem. (C) the number of groups makes sense because their is a total number of groups.

Hope this helps! :)

6 0
3 years ago
Read 2 more answers
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