Answer:
Step-by-step explanation:
![(2^{3})^{3} = 2^{3*3}=2^{9}\\\\\\(\dfrac{4^{2}}{5^{3}})^{3} = \dfrac{(4^{2})^{3}}{(5^{3})^{3}}=\dfrac{4^{6}}{5^{9}}\\\\\dfrac{3^{6}}{3^{3}}=3^{6-3}=3^{3}\\\\\\a^{m}*a^{n}=a^{m+n}\\\\(a^{m})^{n}=a^{m*n}\\\\\dfrac{a^{m}}{a^{n}}=a^{m-n}](https://tex.z-dn.net/?f=%282%5E%7B3%7D%29%5E%7B3%7D%20%3D%202%5E%7B3%2A3%7D%3D2%5E%7B9%7D%5C%5C%5C%5C%5C%5C%28%5Cdfrac%7B4%5E%7B2%7D%7D%7B5%5E%7B3%7D%7D%29%5E%7B3%7D%20%3D%20%5Cdfrac%7B%284%5E%7B2%7D%29%5E%7B3%7D%7D%7B%285%5E%7B3%7D%29%5E%7B3%7D%7D%3D%5Cdfrac%7B4%5E%7B6%7D%7D%7B5%5E%7B9%7D%7D%5C%5C%5C%5C%5Cdfrac%7B3%5E%7B6%7D%7D%7B3%5E%7B3%7D%7D%3D3%5E%7B6-3%7D%3D3%5E%7B3%7D%5C%5C%5C%5C%5C%5Ca%5E%7Bm%7D%2Aa%5E%7Bn%7D%3Da%5E%7Bm%2Bn%7D%5C%5C%5C%5C%28a%5E%7Bm%7D%29%5E%7Bn%7D%3Da%5E%7Bm%2An%7D%5C%5C%5C%5C%5Cdfrac%7Ba%5E%7Bm%7D%7D%7Ba%5E%7Bn%7D%7D%3Da%5E%7Bm-n%7D)
Hi there.
The best way to estimate starts by rounding.
31.9 rounds up to 32.
32/4 = 8
The best estimate for 31.9 divided by 4 is 8.
Let me know if you spot any errors :)
Answer:
n = -1 n = -7
Step-by-step explanation:
5| 2n+8| +3 = 33
Subtract 3 from each side
5| 2n+8| +3-3 = 33-3
5| 2n+8| = 30
Divide by 5
5/5| 2n+8| = 30/5
| 2n+8| = 6
An absolute value equation has two solutions, one positive and one negative
2n+8 = 6 2n+8 = -6
Subtract 8 from each side
2n+8-8=6-8 2n+8-8 = -6-8
2n = -2 2n = -14
Divide by 2
2n/2 = -2/2 2n/2 = -14/2
n = -1 n = -7