(1) Deduce the value of the ‘n’ in each of the following: (a) 0.0035² = 1.225 × 10ⁿ
(b) 0.04³ = 6.4 × 10ⁿ

(2) Write the answers to the following calculations in standard form:
(a) ( 2.4 × 10⁸ ) ÷ ( 9.6 × 10² )
(b) (2.8 × 10⁵) × ( 2.0 × 10³ )

(3) Evaluate the following without the use of calculator:
(a) 27³ / 3³ (b) 25² × 5²

Jacks bank statement shows an account balance of -$25.50. which describes the magnitude, of size, of the debt in dollars

The wheels of a bicycle have a diameter of 70cm. how many meters will the bicycle travel if each wheel makes 50 revolutions

Abucket of paint has spilled on a tile floor. the paint flow can be expressed with the function p(t) = 6(t), where t represents time in minutes and p represents how far the paint is spreading. the flowing paint is creating a circular pattern on the tile. the area of the pattern can be expressed as a(p) = 3.14(p)^2 part a: find the area of the circle of spilled paint as a function of time, or a[p(t)]. show your work. part b: how large is the area of spilled paint after 8 minutes? you may use 3.14 to approximate pi in this problem.