$\bf ~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ (x^3y^5)^{\frac{4}{3}}\implies \left( x^{3\cdot \frac{4}{3}}y^{5\cdot \frac{4}{3}} \right)\implies x^4y^{\frac{20}{3}}\implies x^4 y^{\frac{18}{3}+\frac{2}{3}}\implies x^4 y^{\frac{18}{3}} y^{\frac{2}{3}} \\\\\\ x^4y^6 y^{\frac{2}{3}}\implies x^4y^6\sqrt[3]{y^2}$

5 0

4 years ago

A right rectangular prism has a length of 10 in., a width of 12 in., and a height of 16 in. The dimensions of the prism are halv

valkas [14]

The surface area of a rectangular prism can be found by adding the area of all sides together. To start, we will have to find the dimensions for the new prism, which is 5 * 6 * 8.

Then, we will have to find the area for each side. One of the sides will have 8*6, another 8*5, and the last 5*6.
We will then have 48, 40, and 30. Multiply them all by 2 and add them all together.
You will receive the final answer of 236 square inches.

7 0

3 years ago

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