(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