Simplify 3x^2(2xy)^4

Mathematics

2 answers:

g100num [7]3 years ago

4 0

Answer:

The answer is 48x^6y^4. Hope this helps! :)

Doss [256]3 years ago

3 0

Answer:

The final answer should be:

$48x^6 y^4$

Step-by-step explanation:

Solve:

$3x^2(2xy)^4$

$3x^2\times2^4 x^4 y^4$

$3^2 \times 16x^4 y^4$

$48x^2 x^4 y^4$

$48x^6 y^4$

Result:

$48x^6 y^4$

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Question on the picture:

Nimfa-mama [501]

Answer:

$36\ feet$

Step-by-step explanation:

Assume that the shadow of an object in this problem is proportional to the height of the object. One can form the following ratio to describe the objects in this problem,

$(height):(shadow)$

As per the given problem, a (6) foot person casts a (1.7) foot shadow. Therefore, one can form the following ratio,

$6:1.7$

It is given that there is a lighthouse that has a shadow of (10.2) feet, one is asked to find its height. Use the parameter (x) to represent the unknown; since the ratios are related, one can form a proportion to solve for(x).

$6:1.7=x:10.2$