Answer:
96
Step-by-step: the formula is base × height . 8×12=96
Answer:
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Step-by-step explanation:
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Answer:
5 to the power of 5 over 6 = ![5^{\frac{5}{6}}](https://tex.z-dn.net/?f=5%5E%7B%5Cfrac%7B5%7D%7B6%7D%7D)
Step-by-step explanation:
1)Let's define some properties about exponent:
![a^{\frac{b}{c}}=\sqrt[c]{a^{b}}](https://tex.z-dn.net/?f=a%5E%7B%5Cfrac%7Bb%7D%7Bc%7D%7D%3D%5Csqrt%5Bc%5D%7Ba%5E%7Bb%7D%7D)
For example :
![4^{\frac{1}{2}}=\sqrt[2]{4^{1}}=\sqrt[2]{4}=\sqrt{4}=2](https://tex.z-dn.net/?f=4%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%3D%5Csqrt%5B2%5D%7B4%5E%7B1%7D%7D%3D%5Csqrt%5B2%5D%7B4%7D%3D%5Csqrt%7B4%7D%3D2)
![2^{\frac{6}{3}}=\sqrt[3]{2^{6}}=\sqrt[3]{64}=4](https://tex.z-dn.net/?f=2%5E%7B%5Cfrac%7B6%7D%7B3%7D%7D%3D%5Csqrt%5B3%5D%7B2%5E%7B6%7D%7D%3D%5Csqrt%5B3%5D%7B64%7D%3D4)
2)Another property of exponent is :
![(a^{b}).(a^{c})=a^{b+c}](https://tex.z-dn.net/?f=%28a%5E%7Bb%7D%29.%28a%5E%7Bc%7D%29%3Da%5E%7Bb%2Bc%7D)
For example :
![(4^{2}).(4^{3})=4^{2+3}=4^{5}=1024](https://tex.z-dn.net/?f=%284%5E%7B2%7D%29.%284%5E%7B3%7D%29%3D4%5E%7B2%2B3%7D%3D4%5E%7B5%7D%3D1024)
<em>This means that when we have two exponential functions with the same base that are multiplying between them, we can sum the exponents in order to make a new exponential function with the same base.</em>
<em />
<u>Using this two properties we can solve the problem.</u>
![(\sqrt{5}).(\sqrt[3]{5})](https://tex.z-dn.net/?f=%28%5Csqrt%7B5%7D%29.%28%5Csqrt%5B3%5D%7B5%7D%29)
- Using the two properties :
![(\sqrt{5}).(\sqrt[3]{5})=(5^{\frac{1}{2}}).(5^{\frac{1}{3}})=5^{\frac{1}{2}+\frac{1}{3}}](https://tex.z-dn.net/?f=%28%5Csqrt%7B5%7D%29.%28%5Csqrt%5B3%5D%7B5%7D%29%3D%285%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%29.%285%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%29%3D5%5E%7B%5Cfrac%7B1%7D%7B2%7D%2B%5Cfrac%7B1%7D%7B3%7D%7D)
Now, ![\frac{1}{2}+\frac{1}{3}=\frac{5}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%2B%5Cfrac%7B1%7D%7B3%7D%3D%5Cfrac%7B5%7D%7B6%7D)
Therefore, the final expression is
⇒
![(\sqrt{5}).(\sqrt[3]{5})=5^{\frac{5}{6}}](https://tex.z-dn.net/?f=%28%5Csqrt%7B5%7D%29.%28%5Csqrt%5B3%5D%7B5%7D%29%3D5%5E%7B%5Cfrac%7B5%7D%7B6%7D%7D)
The correct answer is :
5 to the power of 5 over 6.
Answer: x+b>c/x
Step-by-step explanation: hope it helps please give brainliest!