-4x^3 times 2y^-2 times 5y^5 times x^-8

Mathematics

2 answers:

mote1985 [20]3 years ago

4 0

Answer:

-64x X 4y X 3125y X x

-64X^2 X 1250Oy^2

Step-by-step explanation:

Igoryamba3 years ago

4 0

Answer:

-40y^3 / x^5

Step-by-step explanation:

Apply exponent rules

a^b * a^c = a^b+c

a^-b = 1/a^b

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sasho [114]

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3 years ago

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GCF of 9ab^2 and 6bc^2

Alchen [17]

For this case we have that by definition, the GCF (Greatest Common Factor) is the largest integer that divides the numbers.

We have the following expressions:

$9ab ^ 2\\6bc ^ 2$

We find the factors of 9 and 6:

$9: 1,3,9\\6: 1,2,3,6$

Thus, the largest number that divides 9 and 6 is 3

It is also observed that "b" is the common variable of both expressions

Therefore, the GCF of the expressions is:

$3b$

Answer:

$3b$

8 0

3 years ago

There are two flavors of ice cream; strawberry and chocolate. the amount of strawberry ice cream is in the shape of a sphere. th

amid [387]

The complete question is
There are two flavors of ice cream; strawberry and chocolate. the amount of strawberry ice cream is in the shape of a sphere. the amount of chocolate ice cream fills the rest of the cone. the dimensions of the sphere is 6cm and the cone is 12cm.

the figure is not drawn to scale

A. what is the volume, in cubic centimeters of the right circular cone ?show or explain how you got your answer.
B. the amount of strawberry ice cream is in the shape of a sphere. what is the volume in cubic centimeters of the strawberry ice cream?
C. what is the total volume in cubic centimeters of all the ice creams?
D.the amount of chocolate ice cream fills the rest of the cone. what is the volume in cubic centimeters of the chocolate ice cream?

we know that
the height of the cone is 12 cm
the diameter of a cone is 6 cm

Part A) what is the volume, in cubic centimeters of the right circular cone? show or explain how you got your answer.

we know that
the volume of a cone=(1/3)*pi*r²*h
r=6/2----> 3 cm
h=12 cm
The volume of a cone=(1/3)*pi*3²*12------> 36*pi cm³-------> 113.04 cm³

the answer part A) is 36*pi cm³ (113.04 cm³)

Part B) the amount of strawberry ice cream is in the shape of a sphere. what is the volume in cubic centimeters of the strawberry ice cream?
volume of a sphere=(4/3)*pi*r³
r=3 cm
volume of a sphere=(4/3)*pi*3³-----> 36*pi cm³------> 113.04 cm³

the answer part B) is 36*pi cm³ (113.04 cm³)

Part C) what is the total volume in cubic centimeters of all the ice creams?
volume of the cone+volume of a hemisphere

36*pi+18*pi-----> 54*pi cm³-------> 169.56 cm³

the answer Part C) is 54*pi cm³ (169.56 cm³)

Part D) .the amount of chocolate ice cream fills the rest of the cone. what is the volume in cubic centimeters of the chocolate ice cream?
volume of a cone-volume of a hemisphere
36*pi-18*pi-----> 18*pi cm³-----> 56.52 cm³

the answer Part D) is 18*pi cm³ (56.52 cm³)