Name the property of real numbers illustrated by the equation 2*(√8*7)=(2*√8)*7

distributive property
associative property of multiplication
commutative property of multiplication
associative property of addition

The property that is illustrated by the equation is:

                   Associative property of multiplication      

Associative property--

It states that the elements can be added or multiplied no matter in which order the elements are grouped.

i.e.

a+(b+c)=(a+b)+c

This is the associative property of addition.

and

a×(b×c)=(a×b)×c

This is the associative property of multiplication.

Commutative Property--

It states that two elements of the set when operated gives the resultant as the same when the two are operated in any order.

i.e.

a+b=b+a  This is commutative property of addition.

and

a×b=b×a This is the commutative property of multiplication.

Distributive Property--

Also, for any three elements a,b,c by the distributive property states that:

   a(b+c)=ab+ac

Here we have the equation as:

This is the associative property of multiplication.

1.5%

step-by-step explanation:

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.