Prove that the value of the expression: b (36^5−6^9)(38^9−38^8) is divisible by 30 and 37.

(30)(37)(-6⁷)(38⁸)

Step-by-step explanation:

(36⁴−6⁹)(38⁹−38⁸)

(36⁴ - 6⁹) = (6²)⁴ - 6⁹

= 6⁸ - 6⁹

= 6⁷(6 - 6²)

= 6⁷(6 - 36)

= 6⁷(-30)

(38⁹ - 38⁸)

= 38⁸(38 - 1)

= 38⁸(37)

36⁴−6⁹)(38⁹−38⁸)

6⁷(-30) × 38⁸(37)

(30)(37)(-6⁷)(38⁸)

Clearly 30 and 37 are factors, so divisible by them

the data of the detroit pistons in numerical order from least to greatest is 0.30, 0.37, 0.55, 0.62, 0.69, 0.72, 0.73, 0.75, 0.77, 0.78, 0.80, 0.81, 0.81, 0.83, 0.84, 0.89

the data of the miami heat in numerical order from least to greatest is 0.50, 0.50, 0.56, 0.57, 0.67, 0.72, 0.72, 0.72, 0.75, 0.75, 0.76, 0.81, 0.82, 0.90, 1.00, 1.00

the detroit pistons median : 1.52

the miami heat median: 1.47

the iqr of this data is 0.05

the solution is the point

step-by-step explanation:

we have

> equation a

> equation b

adds equation a and equation b

substitute the value of x in equation b to find the value of y

the solution is the point