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Fittoniya [83]
3 years ago
5

How do you convert from a radical expression to a rational exponent?

Mathematics
1 answer:
Murljashka [212]3 years ago
5 0
 The denominator of the raised fraction is what goes on the outside of the square root. So if you had 2 raised to 1/3, you'd put the 3 raised outside to the left of the radical and the 2 inside. They give the same answer, so if you know one, you can always play with the other until you get the same answer. My teacher told us in Calculus a funny/weird way to remember it is the "bottom (of the raised fraction) goes in the crack (of the radical)." Does this help??
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Savatey [412]
Simplify \frac{21}{2}x
​2
​
​21
​​ x to \frac{21x}{2}
​2
​
​21x
​​
\frac{21x}{2}-\frac{3}{4}(2x+5)=\frac{3}{8}
​2
​
​21x
​​ −
​4
​
​3
​​ (2x+5)=
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​
​3
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2 Simplify \frac{3}{4}(2x+5)
​4
​
​3
​​ (2x+5) to \frac{3(2x+5)}{4}
​4
​
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​​
\frac{21x}{2}-\frac{3(2x+5)}{4}=\frac{3}{8}
​2
​
​21x
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​
​3
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3 Multiply both sides by 44 (the LCM of 2, 42,4)
42x-3(2x+5)=\frac{3}{2}42x−3(2x+5)=
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​
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4 Expand
42x-6x-15=\frac{3}{2}42x−6x−15=
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5 Simplify 42x-6x-1542x−6x−15 to 36x-1536x−15
36x-15=\frac{3}{2}36x−15=
​2
​
​3
​​

6 Add 1515 to both sides
36x=\frac{3}{2}+1536x=
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​
​3
​​ +15

7 Simplify \frac{3}{2}+15
​2
​
​3
​​ +15 to \frac{33}{2}
​2
​
​33
​​
36x=\frac{33}{2}36x=
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​
​33
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8 Divide both sides by 3636
x=\frac{\frac{33}{2}}{36}x=
​36
​
​
​2
​
​33
​​
​​

9 Simplify \frac{\frac{33}{2}}{36}
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​
​
​2
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​​
​​ to \frac{33}{2\times 36}
​2×36
​
​33
​​
x=\frac{33}{2\times 36}x=
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10 Simplify 2\times 362×36 to 7272
x=\frac{33}{72}x=
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11 Simplify \frac{33}{72}
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​​ to \frac{11}{24}
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x=\frac{11}{24}x=
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X=11 over 24
4 0
3 years ago
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eimsori [14]

Answer:

3

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7 0
3 years ago
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7 0
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sammy [17]

Answer:

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Then you multiply

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