Simplify: 3^4 x 2^0 x 6^1
A. 0
B. 486
C. 972
D. 81

B. 486

Step-by-step explanation:

3^4 = 3 × 3 × 3 × 3 = 81

2^0 = 1

6^1 = 6

Find the product.

81 × 1 × 6

= 486

option B; 486

Step-by-step explanation: 3 raised to the power 4 can be written as 3*3*3*3, 2 raised to 0 is 1( any number raised to to the power 0 is 1), 6 raised to 1 is the number itself( means that 6 is only repeated or mentioned once).

so, 3*3*3*3*1*6=486

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is