Math worksheet featuring problems on exponents, square roots, and cube roots for practice.

Here are the solutions to the math problems on your worksheet.

A. Find the answer, show your working.

*These questions ask you to multiply a number by itself (squared) or by itself three times (cubed).*

1) $2^2 = 2 \times 2 = 4$
2) $2^4 = 2 \times 2 \times 2 \times 2 = 16$
3) $3^2 = 3 \times 3 = 9$
4) $4^3 = 4 \times 4 \times 4 = 64$
5) $5^2 = 5 \times 5 = 25$
6) $10^3 = 10 \times 10 \times 10 = 1000$
7) $12^2 = 12 \times 12 = 144$
8) $8^3 = 8 \times 8 \times 8 = 512$
9) $7^2 = 7 \times 7 = 49$
10) $4^3 = 4 \times 4 \times 4 = 64$

B. Find the answer.

*These questions ask for the square root. You need to find which number multiplied by itself equals the number inside.*

11) $\sqrt{16} = 4$
12) $\sqrt{25} = 5$
13) $\sqrt{100} = 10$
14) $\sqrt{81} = 9$
15) $\sqrt{144} = 12$
16) $\sqrt{1600} = 40$
17) $\sqrt{8100} = 90$
18) $\sqrt{49} = 7$
19) $\sqrt{121} = 11$
20) $\sqrt{64} = 8$

C. Find the answer.

*These questions ask for the cube root. You need to find which number multiplied by itself three times equals the number inside.*

21) $\sqrt[3]{8} = 2$
22) $\sqrt[3]{27} = 3$
23) $\sqrt[3]{125} = 5$
24) $\sqrt[3]{1000} = 10$
25) $\sqrt[3]{512} = 8$
26) $\sqrt[3]{125} = 5$
27) $\sqrt[3]{64} = 4$
28) $\sqrt[3]{343} = 7$
29) $\sqrt[3]{729} = 9$
30) $\sqrt[3]{216} = 6$

Final Answer:
Section A:
1) 4
2) 16
3) 9
4) 64
5) 25
6) 1000
7) 144
8) 512
9) 49
10) 64

Section B:
11) 4
12) 5
13) 10
14) 9
15) 12
16) 40
17) 90
18) 7
19) 11
20) 8

Section C:
21) 2
22) 3
23) 5
24) 10
25) 8
26) 5
27) 4
28) 7
29) 9
30) 6