What is the derivative of the 5th root of t^3?

1 answer:

6 0

$\bf y=t^{\frac{3}{5}}\implies \cfrac{dy}{dt}=\stackrel{\textit{using the power rule}}{\cfrac{3}{5}t^{\frac{3}{5}-1}}\implies \cfrac{dy}{dt}=\cfrac{3}{5}t^{-\frac{2}{5}}
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\cfrac{dy}{dt}=\cfrac{3}{5t^{\frac{2}{5}}}\implies \cfrac{dy}{dt}=\cfrac{3}{5\sqrt[5]{t^2}}$

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Use the expression to complete the statements. (0.5)10 (0.5)10 is the . (0.5) is the of (0.5)10. 10 is the of (0.5)10. A power i

RideAnS [48]

Question:

Use the expression to complete the statements.

$(0.5)^{10\\$

________ is the power .

(0.5) is the ________

A ______ is another way to write

Answer:

0.5 is the base

10 is the power

$(0.5)^{10\\ = (\frac{1}{2})^{10}$ -- another way to write

Step-by-step explanation:

Given

$(0.5)^{10\\$

Required

Fill ion the gaps

$(0.5)^{10\\$ is pronounced as; 0.5 raise to the power of 10

From the above statement, we can deduce the following:

0.5 is the base

10 is the power

Lastly, another way to write $(0.5)^{10\\$

Express 0.5 as a fraction

$(\frac{5}{10})^{10}$

Simplify the fraction

$(\frac{5/5}{10/5})^{10}$

$(\frac{1}{2})^{10}$

Hence:

$(0.5)^{10\\ = (\frac{1}{2})^{10}$

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Step-by-step explanation:

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