Explain what you would do first to simplify the expression below. Justify why, and then state the result of performing this step.2r2t3/4t22 (2024)

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Dividing Terms with the Same Exponent

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Solution

First step to simplify the expression:
Given expression is ${(\frac{{(2 r^{2} t)}^{3}}{4 t^{2}})}^{2}$
The first step to simplify the expression to distribute the powers to the numerator and the denominator and further simplify.
For this apply the power rules of exponents that is; ${({(\frac{a}{b})}^{m})}^{n} = {(\frac{a}{b})}^{m \times n}$
Simplify:
${(\frac{{(2 r^{2} t)}^{3}}{4 t^{2}})}^{2} = \frac{{(2 r^{2} t)}^{3 \times 2}}{{(4 t^{2})}^{2}} = \frac{{(2 r^{2} t)}^{6}}{(16 t^{4})}$
Hence, the first step to simplify the expression to distribute the powers to the numerator and the denominator after the first step is ${(\frac{{(2 r^{2} t)}^{3}}{4 t^{2}})}^{2} = \frac{{(2 r^{2} t)}^{6}}{(16 t^{4})}$ .
See Also
Taxonomy and systematics of the fungus-growing ant associate Escovopsis (Hypocreaceae)Answers to: Solve:es002-1.jpg Will give brainless if you answer, please. Evaluating a Proportion Vincent wrote an example of a proportion on the board: base original height reduction height original base reduction Evaluate Vincent's proportion to determine if it is correct. Explain yo Simplify Calculator

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