Answer:125
Step-by-step explanation:
Answer:
10-5
Step-by-step explanation:
As per the attached figure, right angled
has an inscribed circle whose center is
.
We have joined the incenter
to the vertices of the
.
Sides MD and DL are equal because we are given that 
Formula for <em>area</em> of a
As per the figure attached, we are given that side <em>a = 10.</em>
Using pythagoras theorem, we can easily calculate that side ML = 10
Points P,Q and R are at
on the sides ML, MD and DL respectively so IQ, IR and IP are heights of
MIL,
MID and
DIL.
Also,


So, radius of circle = 
Hello!
The answer are:
- Product of powers.
- Power of a power.
- Negative exponents.
<h2>Why?</h2>
Let's solve it!
It's a math rule that we must solve first what's into a brake or parenthesis, so,
First: Product of powers ![[(7)^{5}*(7)^{3}]](https://tex.z-dn.net/?f=%5B%287%29%5E%7B5%7D%2A%287%29%5E%7B3%7D%5D)
According to the exponent's law, we have a product of powers case, so, we need to sum the exponents and keep the base
Exponents: 5 and 3
Base: 7
Applying it we have:


Then,
We have a power of a power case, which involves multiplying the exponents:
![[(7)^{5}*(7)^{3}]^{-4}](https://tex.z-dn.net/?f=%5B%287%29%5E%7B5%7D%2A%287%29%5E%7B3%7D%5D%5E%7B-4%7D)
Exponents: 3 and -4
Then,

Finally, we can apply the negative exponents, the negative exponent's rules state that negative exponents are the reciprocal of the positive exponents,
So, we will have that:

Have a nice day!