The sum of two numbers is 80. Their difference is 38. What is the product of these two numbers?

The product of these two numbers is 1239.

Step-by-step explanation:

Given that

a + b = 80

a -  b = 38

Add both equation :

a + b = 80

a -  b = 38

2a = 118

a = 59

Put value of a in any 1st equation

a + b = 80

b =  80 - 59

b = 21

Product :

a x b = 59 x 21

        = 1239

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

step-by-step explanation:

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about the problem:

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