Use the equation 135 x 42 = 5.670 and what you know about fractions, decimals, and place value to explain how to place the decimal point when you compute 1.35 x 4.2

5.670

Step-by-step explanation:

To compute 1.35 x 4.2

First, we need to convert both decimals to fraction

1.35 = 135/100

4.2 = 42/10

Taking the product

1.35 x 4.2

= 135/100 * 42/10

= (135*42)/(100*10)

= 5670/1000

= 5.670

Hence the product of both numbers is 5.670

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:

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step-by-step explanation: