# Simplify

## An Advanced Mathematics Lesson Starter Of The Day

Simplify this algebraic fraction

$$\frac{2^{x+1}}{2^{x-1}}$$

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## Answer

Applying the laws of indices:

= $$\frac{2^x \times 2^1}{2^x \div 2^1}$$

Multiply numerator and denominator by $$2$$.

= $$\frac{2^x \times 4}{2^x}$$

Divide numerator and denominator by $$2^x$$.

= 4

Pauline Johnson, Preston, Lancashire

Wednesday, November 7, 2018

"I did this a different way by subtracting the indices. I did
2^(x+1)-(x-1). Then multiplying out the brackets we get 2^(x+1-x+1). The x's disappear and we are left with 2^2=4."

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