Question

in 7 and 8, write each power as repeated multiplication. then evaluate. 7. (-3)^4 8. (1/3)^2

Explanation:

Step1: Write (-3)^4 as repeated multiplication

(-3)^4 = (-3)×(-3)×(-3)×(-3)

Step2: Evaluate (-3)×(-3)×(-3)×(-3)

(-3)×(-3)=9, 9×(-3)= - 27, -27×(-3)=81

Step3: Write (1/3)^2 as repeated multiplication

(1/3)^2=(1/3)×(1/3)

Step4: Evaluate (1/3)×(1/3)

(1/3)×(1/3)=1/9

Answer:

1. (-3)^4 as repeated multiplication is (-3)×(-3)×(-3)×(-3), and its value is 81.
2. (1/3)^2 as repeated multiplication is (1/3)×(1/3), and its value is 1/9.