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.

answer: huh

step-by-step explanation:

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47