Anumber to the 8th power divided by the same number to the 5th power is 64 what is the number?

Let the number = X

You have X^8 / X^5

When dividing two numbers with powers, Simplify the expression by subtracting the powers.

8-5=3

so X^8 / X^5 becomes x^3

Now you have x^3 = 64

To find x take the cubic root of 64:

X = ∛64

X = 4

The number is 4

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

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step-by-step explanation:

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