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kotykmax [81]
4 years ago
13

6^9 / 6^3 Please simplify I need help

Mathematics
2 answers:
sladkih [1.3K]4 years ago
3 0

Answer:

  6^6

Step-by-step explanation:

The applicable rule of exponents is ...

  (a^b)/(a^c) = a^(b-c)

In this problem, that means ...

  (6^9)/(6^3) = 6^(9-3) = 6^6

__

It can help to remember that an exponent signifies repeated multiplication. Written out without exponents, the problem is ...

  \dfrac{6\cdot6\cdot6\cdot6\cdot6\cdot6\cdot6\cdot6\cdot6}{6\cdot6\cdot6}=6\cdot6\cdot6\cdot6\cdot6\cdot6=6^6

Note that the 3 instances of 6 in the denominator cancel 3 from the numerator. Clearly, the effect is the same as subtracting exponents.

grin007 [14]4 years ago
3 0

Answer: 6^6

Step-by-step explanation: Formula - (a^b)/(a^c) = a^(b-c)

keeping the formula in mind;

= 6^9/6^3= 6^(9-3)

= 6^6

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The cylinder shown has a lateral surface area of about 80 square inches. Which answer is closest to the height of the cylinder?
Radda [10]

Hello!

The cylinder shown has a lateral surface area of about 80 square inches. Which answer is closest to the height of the cylinder? Use 3.14 to approximate pi.

We have the following data:

Al (lateral surface area) = 80 in²

R (ratio) = 4 in

h (height) = ? (in inches)

Adopt : π ≈ 3.14

We apply the data to the formula, we have:

A_l = 2*\pi*R*h

80 = 2*3.14*4*h

80 = 25.12\:h

25.12\:h = 80

h = \dfrac{80}{25.12}

h = 3.18 \to \boxed{\boxed{h \approx 3.2\:in}}\:\:\:\:\:\:\bf\green{\checkmark}

Answer:

≈ 3.2 inches

________________________

\bf\green{I\:Hope\:this\:helps,\:greetings ...\:Dexteright02!}\:\:\ddot{\smile}

8 0
3 years ago
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Please help me on this
umka2103 [35]

Answer:

YZ = 8.5

Step-by-step explanation:

Since RY is an angle bisector then the ratio of the sides of the triangle are equal to the corresponding ratio of the base, that is

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\frac{11.9}{YZ} = \frac{7}{5} ( cross- multiply )

7YZ = 59.5 ( divide both sides by 7 )

YZ = 8.5

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The longest side of an acute isosceles triangle is 12 centimeters. Rounded to the nearest tenth, what is the smallest possible l
anygoal [31]

Answer:

Its 8.5 just took the test

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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