![\sqrt[3]{\frac{-27x^9}{64y^{12}}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B-27x%5E9%7D%7B64y%5E%7B12%7D%7D%7D)
we take cube root separately
![\sqrt[3]{-27} =\sqrt[3]{-3*-3*-3} =-3](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B-27%7D%20%3D%5Csqrt%5B3%5D%7B-3%2A-3%2A-3%7D%20%3D-3)
We know cuberoot (x^3) is x
![\sqrt[3]{x^9}=\sqrt[3]{x^3*x^3*x^3}=x*x*x= x^3](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E9%7D%3D%5Csqrt%5B3%5D%7Bx%5E3%2Ax%5E3%2Ax%5E3%7D%3Dx%2Ax%2Ax%3D%20x%5E3)
![\sqrt[3]{64} =\sqrt[3]{4*4*4}= 4](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B64%7D%20%3D%5Csqrt%5B3%5D%7B4%2A4%2A4%7D%3D%204)
![\sqrt[3]{y^{12}} =\sqrt[3]{y^3*y^3*y^3*y^3}= y*y*y*y= y^4](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7By%5E%7B12%7D%7D%20%3D%5Csqrt%5B3%5D%7By%5E3%2Ay%5E3%2Ay%5E3%2Ay%5E3%7D%3D%20y%2Ay%2Ay%2Ay%3D%20y%5E4)
![\sqrt[3]{\frac{-27x^9}{64y^{12}}}=\frac{-3x^3}{4y^4}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B-27x%5E9%7D%7B64y%5E%7B12%7D%7D%7D%3D%5Cfrac%7B-3x%5E3%7D%7B4y%5E4%7D)
He will save $1,298
108 x 12= 1,296
The quotient of 8 and h is written as 8/h
Answer:
15
Step-by-step explanation:
Mia take 1/4 and 1/10 hours to create a bracelet. This is 1/4 + 1/10 = 10/40 + 4/40 = 14/40 = 7/20.
It takes her a total of 7/20 hours to make the bracelet. She has 5 1/4 hours to work. To find the number of bracelets she can make divide 5 1/4 by 7/20.
Write first 5 1/4 as a mixed number. 21/4. Then rewrite it as multiplication with the reciprocal of 7/20 to divide fractions.
21/4 * 20/7 = 420/28 = 15
She will make 15 bracelets.
