3.7 Exercise supplement

$3^3$

$4^3$

$0^5$

$1^4$

${\text{12}}^2$

$7^2$

$8^2$

${\text{11}}^2$

$2^5$

$3^4$

${\text{15}}^2$

${\text{20}}^2$

${\text{25}}^2$

$\sqrt{\text{36}}$

$\sqrt{\text{225}}$

$\sqrt[3]{\text{64}}$

$\sqrt[4]{\text{16}}$

$\sqrt{0}$

$\sqrt[3]{1}$

$\sqrt[3]{\text{216}}$

$\sqrt{\text{144}}$

$\sqrt{\text{196}}$

$\sqrt{1}$

$\sqrt[4]{0}$

$\sqrt[6]{\text{64}}$

$2^3-2\cdot 4$

$5^2-\text{10}\cdot 2-5$

$\sqrt{\text{81}}-3^2+6\cdot 2$

${\text{15}}^2+5^2\cdot 2^2$

$3\cdot \left(2^2+3^2\right)$

$\text{64}\cdot \left(3^2-2^3\right)$

$\frac{5^2+1}{\text{13}}+\frac{3^3+1}{\text{14}}$

$\frac{6^2-1}{5\cdot 7}-\frac{\text{49}+7}{2\cdot 7}$

$\frac{2\cdot \left[3+5\left(2^2+1\right)\right]}{5\cdot 2^3-3^2}$

$\frac{3^2\cdot \left[2^5-1^4\left(2^3+\text{25}\right)\right]}{2\cdot 5^2+5+2}$

$\frac{\left(5^2-2^3\right)-2\cdot 7}{2^2-1}+5\cdot \left[\frac{3^2-3}{2}+1\right]$

${\left(8-3\right)}^2+{\left(2+3^2\right)}^2$

$3^2\cdot \left(4^2+\sqrt{\text{25}}\right)+2^3\cdot \left(\sqrt{\text{81}}-3^2\right)$

$\sqrt{\text{16}+9}$

$\sqrt{\text{16}}+\sqrt{9}$

Compare the results of problems 39 and 40. What might we conclude?

$\sqrt{\text{18}\cdot 2}$

$\sqrt{6\cdot 6}$

$\sqrt{7\cdot 7}$

$\sqrt{8\cdot 8}$

An records the number of identical factors that are repeated in a multiplication.

18

24

11

12

51

25

2

What number is the smallest prime number?

55

20

80

284

700

845

1,614

921

29

37

5 and 15

6 and 14

10 and 15

6, 8, and 12

18 and 24

42 and 54

40 and 60

18, 48, and 72

147, 189, and 315

64, 72, and 108

275, 297, and 539

5 and 15

6 and 14

10 and 15

36 and 90

42 and 54

8, 12, and 20

40, 50, and 180

135, 147, and 324

108, 144, and 324

5, 18, 25, and 30

12, 15, 18, and 20

Find all divisors of 24.

Find all factors of 24.

Write all divisors of $2^3\cdot 5^2\cdot 7$ .

Write all divisors of $6\cdot 8^2\cdot {\text{10}}^3$ .

Does 7 divide $5^3\cdot 6^4\cdot 7^2\cdot 8^5$ ?

Does 13 divide $8^3\cdot {\text{10}}^2\cdot {\text{11}}^4\cdot {\text{13}}^2\cdot \text{15}$ ?