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3 years ago

Consider the power 34.

Mathematics

2 answers:

PilotLPTM [1.2K]3 years ago

5 0

3^4 = 3 * 3 * 3 * 3

Correct choices are 2, 4 and 5.

jeyben [28]3 years ago

5 0

Answer:

<h3>The power is described as 3 to the fourth power.</h3><h3>The power can be expanded as 3 · 3 · 3 · 3.</h3><h3>The value of this power is 81.</h3>

$3^{4}= 3 \times 3 \times 3 \times 3=81$

Step-by-step explanation:

The given power is

$3^{4}$

A power represents the product of the base number with itself, as many times as the exponent says that is

$3^{4}= 3 \times 3 \times 3 \times 3=81$

<h3 /><h3>So, among the options, the ones that fit to this result are</h3>

The power is described as 3 to the fourth power.
The power can be expanded as 3 · 3 · 3 · 3.
The value of this power is 81.

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Sergio [31]

Answer:

$\bold{cot(t) =\dfrac{12}{5}}$

Step-by-step explanation:

Given that:

$Cosec (t) = -\frac{13}5$

for $\pi < t < \frac{3 \pi}2$

That means, angle $t$ is in the 3rd quadrant.

To find:

Value of cot(t)

Solution:

First of all, let us recall what trigonometric ratios are positive and what trigonometric ratios are negative in 3rd quadrant.

In 3rd quadrant, tangent and cotangent are positive.

All other trigonometric ratios are negative.

Let us have a look at the following identity:

$cosec^2\theta -cot^2\theta =1$

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So, $cosec^2t-cot^2t=1$

$\Rightarrow (-\dfrac{13}{5})^2-cot^2t=1\\\Rightarrow (\dfrac{169}{25})-cot^2t=1\\\Rightarrow \dfrac{169}{25}-1=cot^2t\\\Rightarrow \dfrac{169-25}{25}=cot^2t\\\Rightarrow \dfrac{144}{25}=cot^2t\\\Rightarrow cot(t)=\pm\sqrt{\dfrac{144}{25}}\\\Rightarrow cot(t)=\pm\dfrac{12}{5}$

But, angle $t$ is in 3rd quadrant, so value of

$\bold{cot(t) =\dfrac{12}{5}}$

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