Question

1 multiple choice 1 point
what is the following in exponential form:
(23 \times 23 \times 23 \times 23 \times 23 \times 23 =\\)

• 138
• 148,035,889
• (23^6)
• (23 \times 6)

2 multiple choice 1 point
use the distance formula to find the distance between (0, -3) and (-6, 2).

• 61
• 7.81
• 781
• 11

3 multiple choice 1 point
use the distance formula to find the distance between (-2, -5) and (1, -2).

• 4
• 18
• 4.24
• (2\sqrt{2})

4 fill in the blank 1 point
use the pythagorean theorem to find the distance between (1, 3) and (-4, -2). write the answer as a decimal and round to the

Explanation:

Question 1: Convert repeated multiplication to exponential form

$$ 23 \times 23 \times 23 \times 23 \times 23 \times 23 = 23^6 $$

Question 2: Apply the distance formula

$$
LATEXBLOCK0
$$

Question 3: Apply the distance formula

$$
LATEXBLOCK1
$$

Question 4: Apply the Pythagorean theorem to find coordinate distance

$$
LATEXBLOCK2
$$

Answer:

Question 1

• 138
• 148,035,889
• \(23^6\) (Correct answer)
• \(23 \times 6\)

Question 2

• 61
• 7.81 (Correct answer)
• 781
• 11

Question 3

• 4
• 18
• 4.24 (Correct answer)
• \(2\sqrt{2}\)

Question 4

Use the Pythagorean Theorem to find the distance between (1, 3) and (-4, -2). Write the answer as a decimal and round to the nearest hundredth: <blank>7.07</blank>