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Mashutka [201]
2 years ago
14

Simplify (5x^-6)^3 leave your answer as a fraction in index form

Mathematics
2 answers:
Elan Coil [88]2 years ago
5 0

Answer: 125/x^18

Step-by-step explanation: this should be the answer

creativ13 [48]2 years ago
5 0

Answer:

(5 {x}^{ - 6} )^{3}  \\  \\ (125 {x}^{ - 18}) \\  \\  =  \frac{125}{ {x}^{18} }

I hope I helped you^_^

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How do you identify like terms?<br> Like terms are separated by<br> or
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Step-by-step explanation:

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A container of milk will hold 3,000 milliliter. What is the amount in liters?
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Find exact values for sin θ, cos θ and tan θ if csc θ = 3/2 and cos θ &lt; 0.
kumpel [21]

Answer:

Part 1) sin(\theta)=\frac{2}{3}

Par 2) cos(\theta)=-\frac{\sqrt{5}}{3}

Part 3) tan(\theta)=-\frac{2\sqrt{5}}{5}

Step-by-step explanation:

step 1

Find the sin(\theta)

we have

csc(\theta)=\frac{3}{2}

Remember that

csc(\theta)=\frac{1}{sin(\theta)}

therefore

sin(\theta)=\frac{2}{3}

step 2

Find the cos(\theta)

we know that

sin^{2}(\theta) +cos^{2}(\theta)=1

we have

sin(\theta)=\frac{2}{3}

substitute

(\frac{2}{3})^{2} +cos^{2}(\theta)=1

\frac{4}{9} +cos^{2}(\theta)=1

cos^{2}(\theta)=1-\frac{4}{9}

cos^{2}(\theta)=\frac{5}{9}

square root both sides

cos(\theta)=\pm\frac{\sqrt{5}}{3}

we have that

cos(\theta) < 0 ---> given problem

so

cos(\theta)=-\frac{\sqrt{5}}{3}

step 3

Find the tan(\theta)

we know that

tan(\theta)=\frac{sin(\theta)}{cos(\theta)}

we have

sin(\theta)=\frac{2}{3}

cos(\theta)=-\frac{\sqrt{5}}{3}

substitute

tan(\theta)=\frac{2}{3}:-\frac{\sqrt{5}}{3}=-\frac{2}{\sqrt{5}}

Simplify

tan(\theta)=-\frac{2\sqrt{5}}{5}

6 0
3 years ago
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