1. Simplify. ((4x^4 y^5 )^4)/((4x^2 y^3 )^3 ) Show your work for each step.


2. Solve for x. 〖(27)〗^(2y-2)=(3)^(2y+15)Show your work for each step.

1.

2.  

Step-by-step explanation:

Question 1.

Given:

We need to Simplify given expression we get;

Solution:

Now we know that;

By Using Law of Indices which states;

So we get:

Now Again By Law of Indices we get;

So we get:

Hence Simplified expression is  .

Question 2.

Given:

We need to solve for 'y'.

Solution:

To find 'y' we need to first make the base same.

Now we know that;

So we can say that:

Now Applying Distributive property we get;

Now we can say that;

When an expression has equal bases then their exponent are said to equal too.

from above we get;

Combing like terms we get;

Dividing both side by 2 we get;

Hence The Value of y is 5.25.

this is a very good question

step-by-step explanation:

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so a parallelogram is just like a square base times height. multiply 40 and 39 to get 1560 inches.

a triangle is base times height divided by two. so multiply 7.9 and 5 and then divide it by 2 to get 19.75inches.

the kite can be split into two separate triangles and added together to get the total area. 30 x 4 /2 which equals 60. make sure to double it for the two triangles making 120.