Consider 7x10 power of 3.write a pattern to find the value of the expression.

Scientific notation is commonly used by mathematicians, scientists and engineers in expressing too large or too small numbers written conveniently in a form of decimal.

Numbers in scientific notation are written in the form of

m × 10 to the power of n.

example:

300 in scientific notation is 3 x 10 to the power of 2.

where; 3x10x10= 300

Let us consider and evaluate 7 x 10 to the power of 3.

The answer is 7000. How did we get 7000?

7x10x10x10=7000

7x10=70

70x10=700

700x10=7000.

The simplest technique to find the value of expression (in scientific notation) is to count the number of zeros.for instance, 300 has two zeros, the scientific notation of 300 is 3x 10 to the power of 2 or 3x 10 to the second power. In other words, you multiplied 3 to 10 twice. The same thing with 7 x 10 to the third power.

Hope this helps!

y=mx+b

step-by-step explanation:

m slope

b y-intercept

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.