![(8a^{-3})^\frac{2}{3}=(8 \cdot \frac{1}{a^3})^\frac{2}{3}=(\frac{8}{a^3})^\frac{2}{3}=\sqrt[3]{(\frac{8}{a^3})^2}=\sqrt[3]{\frac{64}{a^6}}=\frac{\sqrt[3]{64}}{\sqrt[3]{a^6}}=\frac{4}{a^2}](https://tex.z-dn.net/?f=%288a%5E%7B-3%7D%29%5E%5Cfrac%7B2%7D%7B3%7D%3D%288%20%5Ccdot%20%5Cfrac%7B1%7D%7Ba%5E3%7D%29%5E%5Cfrac%7B2%7D%7B3%7D%3D%28%5Cfrac%7B8%7D%7Ba%5E3%7D%29%5E%5Cfrac%7B2%7D%7B3%7D%3D%5Csqrt%5B3%5D%7B%28%5Cfrac%7B8%7D%7Ba%5E3%7D%29%5E2%7D%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B64%7D%7Ba%5E6%7D%7D%3D%5Cfrac%7B%5Csqrt%5B3%5D%7B64%7D%7D%7B%5Csqrt%5B3%5D%7Ba%5E6%7D%7D%3D%5Cfrac%7B4%7D%7Ba%5E2%7D)
It doesn't equal any of the answers A, B, C.
The answer is D.
<h3>
Answers:</h3><h3>
x = 12</h3><h3>
Angle B = 45 degrees</h3>
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Explanation:
Angles A and B are alternate exterior angles.
Due to the parallel lines, alternate exterior angles are congruent
A = B
5x-15 = 2x+21
5x-2x = 21+15
3x = 36
x = 36/3
x = 12
Use this x value to find the measure of angle B
angle B = 2x+21
angle B = 2*12+21
angle B = 24+21
angle B = 45 degrees
As a check,
angle A = 5x-15
angle A = 5*12+15
angle A = 60-15
angle A = 45 degrees
Since A and B are both 45 degrees, this confirms the correct x value
6a+12=2(3a-8)
6a+12=6a-16
-12. -12
6a=6a-4
-6a -6a
0=-4
no solution because the equation is false.
Answer:A) 1.5
Step-by-step explanation: Bob runs at the rate of 8mins per mile
In 60mins his rate would be=60/8=7.5
Let a be the distance he further runs south
2s+3.25
Total distance covered in 50mins=Time=distance/speed=
50/60
50/60=2s +3.25/7.5
Cross multiply
60(2s+3.25)=50×7.5
120s+195=375
120s=375-195
S=180/120
S=1.5
Answer:
35+15=50 or 35$+15$=50$
Step-by-step explanation:
If its for twelve months
35$+180$=215$
