Simplify. rewrite the expression in the form of 4^n.(4^11)(4^-8)

Step-by-step explanation:

The given expression is

Notice that this expression is the product of two powers, to rewrite it, we need to use the following property

Using this property, we have

Therefore, the answer is

By using exponent properties, we will see that the given expression is equal to 4^3.

We want to rewrite the given expression in something of the form 4^n.

Here we just need to use the property:

In this case, we have the expression:

If we use the above property to get:

Then we can see that n = 3.

If you want to learn more about exponents, you can read:

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d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.