find the base for the following items.

1.) 50 is 20% of what number?

2.) 50 is 20% of what number?

3.) 18 is 331⁄3% of what number?

4.) 4 is 1% of what number?

5.) 5% of what number is 90?

6.) 162⁄3% of what number is 72?

1. 50 is 20% of 250

Step-by-step explanation:

In order to find any of these, use the equation.

Number/Out of = %

Then plug in the values

50/x = .20

Then solve by cross multiplying

50 = .20x

250 = x

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: