Work out 2^14 ÷ (2^9)^2 in its simplest form

2¹⁴ ÷ (2⁹)²I would start with the second part of this equation as that looks like it needs simplifying. When 'powers of' are in brackets to each other, they are multipled i.e. (2⁹)² = 2^9x2 = 2¹⁸. Therefore, the equation is now 2¹⁴ ÷ 2¹⁸. When dividing consistent numbers (e.g. both parts of the equation are 2 to the power of something) with powers of , they are subtracted from each other i.e. 2¹⁴ ÷ 2¹⁸ = 2^14-18 = 2^-4. NB: this works the opposite way with multiplication so 2⁵ x 2³ = 2⁸.To translate this answer to its simplest form, any numbers with a negative power of go to the bottom of a fraction (with the power reversed), with 1 on top. Therefore, this is now 1/2⁴, which is 1/16 as a fraction in its simplest form.