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Pie
3 years ago
11

(3)-2 Evaluate exponent

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
7 0

Answer:

3^{-2} = \dfrac{1}{9}

Step-by-step explanation:

Definition of negative exponent:

a^{-n} = \dfrac{1}{a^n}

In our case, a = 3 and -n = -2.

3^{-2} = \dfrac{1}{3^2}

Now we just evaluate the power in the denominator.

3^{-2} = \dfrac{1}{3^2} = \dfrac{1}{9}

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Answer these please tell me <br> 1. What the error was<br> 2. How can U check ur answer
emmainna [20.7K]

Answer:

The first one: the error was that the 3 shouldn’t have been moved but the 5 should have. The correct answer is k=-8

The second one: the error was that they added the 6 and 4, you would only get -10 if the 4 was - the correct answer is -2

You can check your answer by plugging in your answer to the variable and making sure both side equal each other

Step-by-step explanation:

The first one: the 5 should be - from both side so you get k=-8

The second one: the 4 should be + to both sides. And the -6 and +4 should be added together to get n=-2

Remember you always want to get the variables by themselves.

Sorry that was a lot. Hope it helps!

8 0
3 years ago
Which of the values is equivalent to 5^–3? A) 1/15 B) 1/125 C) − 15 D) − 125
bazaltina [42]

Answer:

C 1/125

Step-by-step explanation:

5  ^−3

Calculate 5 to the power of −3 and get  

1/125

​

​

7 0
2 years ago
Card drawn out of deck of 52 cards find probability of drawing a five or six
aivan3 [116]

Answer:

4 /52

Step-by-step explanation:

7 0
3 years ago
How do you solve 7a- 17=4a+1
Dennis_Churaev [7]

Answer:

a = 6

Explanation:

7a − 17 = 4a + 1

Subtract 4a from both sides

7a − 17 − 4a = 4a + 1 − 4a

3a − 17 = 1

Add 17 to both sides

3a − 17 + 17 = 1 + 17

3a = 18

Divide both sides by 3

3a / 3 = 18 / 3

a = 6

5 0
3 years ago
Step 1: 12x – 15 – 12x = 7x + 20
stealth61 [152]

Step-by-step explanation:

step 1. 12x - 15 - 12x = 7x + 20

step 2. 12x - 12x - 15 = 7x + 20 (grouping of terms)

step 3. -15 = 7x + 20 (adding like terms)

step 4. -35 = 7x (subtract 20 from both sides)

step 5. this step is incorrect.

step 6. -5 = x ( divide both sides by 7)

step 7. x = -5 (put the variable first).

5 0
3 years ago
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