If (8^9)^p=8^18what is the value of p

Step-by-step explanation:

In order to simplify this equation , we have to use basic exponent rules.

Exponent rules tell us that .

We have , so this means that it's equivalent to or just .

Now, we have

Let's just focus on the exponents for now.

Since we know that in order for   to be equivalent to , the exponents must be the exact same. So, .

We can find p by divide both sides by 9.

Hope this helped!

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.