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 = 29x2 = 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 = 214-18 = 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.

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Answered by Sion D. Maths tutor

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