Round 35,124 to the nearest ten thousand
1 answer:
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Answer:
(a) and (b) are not equivalent
(c) is equivalent
Step-by-step explanation:
Given
Required
Determine an equivalent or nonequivalent expression
We have:
Apply law of indices
<em>This is not equivalent to </em><em></em>
We have:
Apply law of indices
<em>This is not equivalent to </em><em></em>
<em></em>
<em /><em />
We have:
<em /><em />
Apply law of indices
<em /><em />
<em /><em />
<em>Evaluate the numerator</em>
<em /><em />
<em />
<em>This is an equivalent expression</em>
Exponential laws
![x^{\frac{m}{n}}=\sqrt[n]{x^{m}}](https://tex.z-dn.net/?f=%20x%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%7D%3D%5Csqrt%5Bn%5D%7Bx%5E%7Bm%7D%7D%20)
so
(m^(2/3))^(1/2)=m^(2/3 times 1/2)=m^(2/6)=m^(1/3)=![\sqrt[3]{m^{1}}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7Bm%5E%7B1%7D%7D%20)
= ![\sqrt[3]{m}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7Bm%7D%20)
so
(m^(2/3))^(1/2)=m^(2/3 times 1/2)=m^(2/6)=m^(1/3)=