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Simplify. $$\frac{x^{12}}{x^{4}}$$ - OCR - GCSE Maths - Question 3 - 2021 - Paper 1

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Simplify. $$\frac{x^{12}}{x^{4}}$$

Worked Solution & Example Answer:Simplify. $$\frac{x^{12}}{x^{4}}$$ - OCR - GCSE Maths - Question 3 - 2021 - Paper 1

Step 1

Simplify: $$\frac{x^{12}}{x^{4}}$$

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Answer

To simplify the expression x12x4\frac{x^{12}}{x^{4}}, we can use the property of exponents which states that: aman=amn\frac{a^m}{a^n} = a^{m-n}.

Applying this property:

x12x4=x124\frac{x^{12}}{x^{4}} = x^{12-4}

Therefore,

x124=x8x^{12-4} = x^{8}.

The simplified expression is: x8x^{8}.

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