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koban [17]
1 year ago
15

Rewrite each expression as a product of two or quotient of two powers ​

Mathematics
1 answer:
Paul [167]1 year ago
6 0

Answer:

The product is 5^{40}*3^{70}

Step-by-step explanation:

To do this we must understand how the basic operations apply to powers. If the power has the same base and we multiply them, the base remains the same while we sum the powers, if we divide them the base remains the same and we subtract the powers, if we try to make a power of a power the two powers multiply. Applying this rule we have:

(\frac{5^8*3^7}{5^4})^{10}\\(\frac{5^8}{5^4}*3^7)^{10}\\(5^4*3^7)^{10}\\5^{40}*3^{70}

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Find the product of 0.094 ×0.367
Keith_Richards [23]
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What is the measure in radians for the central angle of a circle whose radius is 8 cm and intercepted arc length is 7.2 cm?
ololo11 [35]

central angle of a circle whose radius is 8 cm and intercepted arc length is 7.2 cm is 0.9 radians

Step-by-step explanation:

We need to find the central angle of a circle whose radius is 8 cm and intercepted arc length is 7.2 cm.

arc length l== 7.2 cm

radius =r= 8 cm

central angle=Ф = ?

The formula used is:

l=r\theta

Putting values:

\theta=\frac{l}{r}\\ \theta=\frac{7.2}{8} \\\theta=0.9\,\,radians

So, central angle of a circle whose radius is 8 cm and intercepted arc length is 7.2 cm is 0.9 radians

Keywords: central angle of circle

Learn more about central angle of circle at

  • brainly.com/question/8618791
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  • brainly.com/question/2860697

#learnwithBrainly

4 0
1 year ago
Given the trinomial 5x^2-2x-3, predict the type of solutions.
pishuonlain [190]

Consider the trinomial 5x^2-2x-3.

1. Find the discriminant:

D=b^2-4ac=(-2)^2-4\cdot 5\cdot (-3)=4+60=64,\\ \\\sqrt{D}=8>0.

2. Find the roots of given trinomial:

x_{1,2}=\dfrac{-b\pm \sqrt{D}}{2a}=\dfrac{2\pm 8}{2\cdot 5}=1,-0.6.

3. Conclusion: given trinomial has two different real roots.

3 0
1 year ago
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Select all the correct answers. Which sequences of transformations applied to shape I prove that shape I is similar to shape II?
MrRissso [65]

Answer:

I think your answer is b and c if not right sorry

Step-by-step explanation:

Hopefully this helps

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1 year ago
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