Help me with this question please the answer that gets it right I will give brainliest
![Help me with this question please the answer that gets it right I will give brainliest class=](https://us-static.z-dn.net/files/d51/0da583f8fa9501dccf70f56d681894a7.png)
Answer:
1/10
Step-by-step explanation:
Please see the attached photo. Hope it helps! :D
Answer:
[tex] x = \dfrac{1}{10} [/tex]
Step-by-step explanation:
[tex] 4^{\frac{3}{4}} \times 2^x = 16^{\frac{2}{5}} [/tex]
[tex] (2^2)^{\frac{3}{4}} \times 2^x = (2^4)^{\frac{2}{5}} [/tex]
[tex] 2^{2 \times \frac{3}{4}} \times 2^x = 2^{4 \times \frac{2}{5}} [/tex]
[tex] 2^{\frac{3}{2}} \times 2^x = 2^{\frac{8}{5}} [/tex]
[tex] 2^{\frac{3}{2} + x} = 2^{\frac{8}{5}} [/tex]
[tex] x + \dfrac{3}{2} = \dfrac{8}{5} [/tex]
[tex] 10x + 15 = 16 [/tex]
[tex] 10x = 1 [/tex]
[tex] x = \dfrac{1}{10} [/tex]