Answer
a) 4x4x4x5x5 using index notation

b) 9x7x9x9x7x9 using index notation

4^3x5^2, 7^2x9^4

Step-by-step explanation:

Where a^b means a to the power b. When writing on paper b should be small and above and to the right of a. Keep the bottom numbers in order, so 4 before 5 and so on. In a there are 3 4s and 2 5s, hence the answer. Same reasoning for b.

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47