Type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar and ^ to indicate an exponent. find the product. 5^56 × 5^22 × 5^-96 =

The product of the 5^56 x 5^22 x 5^-96= 1/5^18.

Step-by-step explanation:

The problem represents the Laws of Exponents.  When you multiply using exponents, you keep the base and add the exponents.  In this case, the base is 5 and our exponents are 56 + 22 + -96.  We we add these three integers, we get a total of -18, which gives us a base of 5 and exponent of -18 or 5^-18.  We don't typically have negative exponents, so our next rule to follow is when you have negative exponents, you flip the base, or make it a fraction, and make the exponent positive.  This gives us a final answer of 1/5^18.  

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

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