Option B is correct.
Step-by-step explanation:
We need to solve: ![\sqrt[3]{x^2}\sqrt[4]{x^3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E2%7D%5Csqrt%5B4%5D%7Bx%5E3%7D)
We know that: ![\sqrt[n]{x}\sqrt[b]{x} =\sqrt[n*b]{x.x}= \sqrt[n*b]{x^2}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bx%7D%5Csqrt%5Bb%5D%7Bx%7D%20%3D%5Csqrt%5Bn%2Ab%5D%7Bx.x%7D%3D%20%5Csqrt%5Bn%2Ab%5D%7Bx%5E2%7D)
Applying the above rule:
![\sqrt[3]{x^2}\sqrt[4]{x^3}\\=\sqrt[3*4]{x^2.x^3}\\=\sqrt[12]{x^5}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E2%7D%5Csqrt%5B4%5D%7Bx%5E3%7D%5C%5C%3D%5Csqrt%5B3%2A4%5D%7Bx%5E2.x%5E3%7D%5C%5C%3D%5Csqrt%5B12%5D%7Bx%5E5%7D)
So, Option B is correct.
Keywords: Solving with Exponents
Learn more about Solving with Exponents at:
#learnwithBrainly
1) Volume = L × W × H = 8 × 3 × 5 = <u>120 m³</u>
2) Volume = s³ = 17³ = 17 × 17 × 17 = <u>4913 cm³</u>
3) Volume = s³ = 30³ = 30 × 30 × 30 = <u>27000 cm³</u>
4) Volume = L × W × H = 13 × 5 × 7 = <u>455 cm³</u>
5) Volume = s³ = 15³ = 15 × 15 × 15 = <u>3375 cm³</u>
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Formula's applied:
(a) Volume of rectangle: Length × Width × Height
(b) Volume of Cube: (side)³
Answer:
,
,
and 
Step-by-step explanation:
Here, x represents the number of hours Zoe spent running on her wheel and y represents the number of hours spent scratching her cage.
Julie was awoke for at least an hour running on her exercise wheel and scratching the of her cage.
⇒ 
She ran on her wheel at least twice as long as she scratched at the corners of her cage.
⇒ 
Also, She spent more than 1/4 hour running on her wheel.
⇒ 
And, we know that number of hours can not be negative.
⇒
Therefore, the complete system of inequality which shows the given situation is,
,
and
, 
Note: the feasible region ( covered by the given system) is shown in the below graph.
The first one is 15 mornings