(a) Write down the value of 16 0 . (b) Find the value of 16 rac{3}{4} .

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(a) Write down the value of 160 - Edexcel - A-Level Maths Pure - Question 3 - 2005 - Paper 2

Question 3

(a) Write down the value of 160. (b) Find the value of 16rac{3}{4}.

Step 1

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Answer

The value of any non-zero number raised to the power of zero is 1. Therefore, the value of 160 is:

$16^0 = 1$

Step 2

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Answer

To find the value of 16rac{3}{4}, we can rewrite 16 as a power of 2:

$16 = 2^4$

Thus,

$16^{ rac{3}{4}} = (2^4)^{ rac{3}{4}}$

Using the power of a power property, we have:

$= 2^{4 imes rac{3}{4}} = 2^3 = 8$

Hence, the value of 16rac{3}{4} is:

$16^{ rac{3}{4}} = 8$

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