When you are multiplying 2 numbers with exponents, you need to add the exponent. When you multiply an exponent with an exponent, you multiply them.
So,
(3^2 x 7^4) ^9
First multiply the base and add exponents = ( 21^6) ^9
= 21 ^6x9
21^54
The same rule applies for variables, just pretend there is an imaginary 1.
276÷10 is 27.6 and that's the answer just draw that in long division or multiplication you should get 2,760
Answer: ![BC=14.8](https://tex.z-dn.net/?f=BC%3D14.8)
Step-by-step explanation:
By definition, an Isosceles triangle has two equal sides and its opposite angles are congruent.
Observe the figure attached, where the isosceles triangle is divided into two equal right triangles.
So, in this case you need to use the following Trigonometric Identity:
![sin\alpha =\frac{opposite}{hypotenuse}](https://tex.z-dn.net/?f=sin%5Calpha%20%3D%5Cfrac%7Bopposite%7D%7Bhypotenuse%7D)
In this case, you can identify that:
![\alpha =\angle BAD=\angle CAD=18\°\\\\opposite=BD=CD=x\\\\hypotenuse=AB=AC=24](https://tex.z-dn.net/?f=%5Calpha%20%3D%5Cangle%20BAD%3D%5Cangle%20CAD%3D18%5C%C2%B0%5C%5C%5C%5Copposite%3DBD%3DCD%3Dx%5C%5C%5C%5Chypotenuse%3DAB%3DAC%3D24)
Substituting values, and solving for "x", you get:
![sin(18\°)=\frac{x}{24}\\\\24*sin(18\°)=x\\\\x=7.416](https://tex.z-dn.net/?f=sin%2818%5C%C2%B0%29%3D%5Cfrac%7Bx%7D%7B24%7D%5C%5C%5C%5C24%2Asin%2818%5C%C2%B0%29%3Dx%5C%5C%5C%5Cx%3D7.416)
Therefore, the length of BC rounded to nearest tenth, is:
![BC=2(7.416)=14.8](https://tex.z-dn.net/?f=BC%3D2%287.416%29%3D14.8)