Given:
The given expression is
![(-4)^{-3}](https://tex.z-dn.net/?f=%28-4%29%5E%7B-3%7D)
To find:
The value of given expression.
Solution:
We have,
![(-4)^{-3}](https://tex.z-dn.net/?f=%28-4%29%5E%7B-3%7D)
Applying the negative exponents rule, we get
![[\because a^{-n}=\dfrac{1}{a^n}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%5E%7B-n%7D%3D%5Cdfrac%7B1%7D%7Ba%5En%7D%5D)
Expanding the exponent, we get
The value of given expression is
.
Therefore, the correct option is A.
Answer: 950
Step-by-step explanation: 600
+ 350
----------
950
Given:
Consider the given radical expression is:
![\sqrt{81x^6}](https://tex.z-dn.net/?f=%5Csqrt%7B81x%5E6%7D)
To find:
The simplified form of the given expression.
Solution:
We have,
![\sqrt{81x^6}](https://tex.z-dn.net/?f=%5Csqrt%7B81x%5E6%7D)
It can be written as:
![\sqrt{81x^6}=\sqrt{9^2(x^3)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B81x%5E6%7D%3D%5Csqrt%7B9%5E2%28x%5E3%29%5E2%7D)
![[\because (ab)^n=a^nb^n]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%28ab%29%5En%3Da%5Enb%5En%5D)
![\sqrt{81x^6}=9x^3](https://tex.z-dn.net/?f=%5Csqrt%7B81x%5E6%7D%3D9x%5E3)
Therefore, the correct option is C.
Answer:
Triangle 3
Step-by-step explanation:
A 3:4:5 triangle or any triangle of the same ratio (Like 6:8:10) is always a right triangle