Here are the solutions to the exponent problems.
Step-by-step Check:
1) $5^3 = 5 \times 5 \times 5 = 25 \times 5 = 125$
2) $10^3 = 10 \times 10 \times 10 = 1000$
3) $3^2 = 3 \times 3 = 9$
4) $(-10)^3 = (-10) \times (-10) \times (-10) = 100 \times -10 = -1000$ (Negative base with odd exponent is negative)
5) $(-12)^3 = (-12) \times (-12) \times (-12) = 144 \times -12 = -1728$
6) $(-2)^2 = (-2) \times (-2) = 4$ (Negative base with even exponent is positive)
7) $12^2 = 12 \times 12 = 144$
8) $2^3 = 2 \times 2 \times 2 = 8$
9) $(-3)^2 = (-3) \times (-3) = 9$
10) $(-8)^2 = (-8) \times (-8) = 64$
11) $2^2 = 2 \times 2 = 4$
12) $(-9)^3 = (-9) \times (-9) \times (-9) = 81 \times -9 = -729$
13) $9^2 = 9 \times 9 = 81$
14) $(-6)^3 = (-6) \times (-6) \times (-6) = 36 \times -6 = -216$
15) $(-7)^2 = (-7) \times (-7) = 49$
16) $(-3)^3 = (-3) \times (-3) \times (-3) = 9 \times -3 = -27$
17) $3^3 = 3 \times 3 \times 3 = 27$
18) $(-5)^2 = (-5) \times (-5) = 25$
19) $8^3 = 8 \times 8 \times 8 = 64 \times 8 = 512$
20) $6^2 = 6 \times 6 = 36$
Final Answer:
1) 125
2) 1000
3) 9
4) -1000
5) -1728
6) 4
7) 144
8) 8
9) 9
10) 64
11) 4
12) -729
13) 81
14) -216
15) 49
16) -27
17) 27
18) 25
19) 512
20) 36
Parent Tip: Review the logic above to help your child master the concept of exponents worksheets grade 8.