Algebra 6

3 marks · Hard

Simplify the following using the rules of indices. Write your answer with positive indices only:

Work this out on paper, then compare with the answer and worked solution below. With a free account you can submit written answers for marking.

Show answer

x^{8} y^{-12} / 16

Must show: Simplifies inner expression, Applies negative exponent, Gives final answer with positive indices

Also accept: \dfrac{x^8}{16y^{12}}; 1/(16)\cdot x^8 y^{-12}

Common mistakes: Forgetting to flip when raising to negative power; Not changing signs of indices

Show mark scheme and worked solution

Marking points

M1 · 1 mark · Correctly simplifies inside the brackets (collects like terms, combines indices)

M2 · 1 mark · Correctly applies the negative exponent (inverts and squares)

A1 · 1 mark · Final answer fully simplified with positive indices: x^{8}/(16y^{12}) (follow-through)

Worked solution

Now raise to the power -2:

Final answer: