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The question asks us to find dy/dx, in terms of x and y. Here though it is not in the form of y=f(x), but a mixed form, which we will not be able to separate out. We will have to use Implicit differentiat...

The laws of powers explain that it is possible to add powers together when a power is raised against another. Therefore the answer is as follows 2^(2+3) = 2^5

The first stage is to calculate two numbers that multiply together to make the integer in the equation, in this example it's -10. The numbers are 5 and 2. Now these two number should both satisfy the sign...

Using the information given, we can draw a diagram of the ladder leaning against the wall. As the wall is at 90 degrees to the ground, we can see that the ladder, wall and ground form a right-angled trian...

The constant 18 can be written in the form 3*6. Therefore the brackets will take the form (x 3)(x 6). In order to find the sign in between them, we have to write -9 using 3 and 6. -9=-3-6 so the brackets ...