Math, asked by chaitu22, 1 year ago

The ratio of 4 power 3.5 is to 2 power 5

Answers

Answered by MrBug
187
4^3.5 can be written as 4^(7/2)
=(root of 4)^7
=2^7
therefore the ratio is 2^7/2^5=2^2/1=4/1

the ratio is 4:1

hope it helps
Answered by mysticd
142

Answer:

The\:ratio \:of\:4^{3.5}\:is\:to\:2^{5}=4:1

Step-by-step explanation:

The\:ratio \:of\:4^{3.5}\:is\:to\:2^{5}\\=4^{3.5}:2^{5}\\=(2^{2})^{3.5}:2^{5}\\=2^{2\times 3.5}:2^{5}\\=2^{7}:2^{5}

Divide each term by 2^{5}, we get

The\:ratio \:of\:4^{3.5}\:is\:to\:2^{5}\\=\frac{2^{2}\times2^{5}}{2^{5}}:\frac{2^{5}}{2^{5}}\\=2^{2}:1\\=4:1

Therefore,

The\:ratio \:of\:4^{3.5}\:is\:to\:2^{5}=4:1

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