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
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40% of 85 is 34 so 85-34=51
51 is your answer
The volume of the fourth box is of 410.1 cubic inches.
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The volume of a rectangular prism is given by the <u>base area multiplied by the height,</u> that is:

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- For the first three boxes, the height is constant at 9 inches.
- At the base, the <u>edge length is multiplied by 1.5</u> each time, as
, thus, for the fourth box, the edge length, in inches, will be of 
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- Square base, of<u> length 6.75 inches</u>, thus:

- Height of <u>9 inches</u>, thus
and:

The volume of the fourth gift box will be of 410.1 cubic inches.
A similar problem is given at brainly.com/question/23756783