Simplify: 5 to the negative 1 power(3 to the negative 2 power)
a 45
b 1/45
c 15 to the negative 3 power
d 15 to the second power

simplify: mn to the negative 4 power / p to the 0 power and q to the negative 2 power
a mq to the second power/ n to the 4th power
b mp/ n to the 4th power
c mn to the -4 power q to the 2nd power p to the 0 power
d q to the second power/ mn to the 4th power

write in scientific notation: 0.0042
a 42 x 10 to the negative 2 power
b 4.2 x 10 to the -4 power
c 4.2 x 10 to the -3 power
d .42 x 10 to the -4 power

simplify: write in standard notation 6.12 x 10 to the 3rd power
a 6,120
b 612
c 61,200
d 61.2

simplify: write in scientific notation. 0.5(8x10 to the 5th power)
a 8x5 to the 5th power
b 4x5 to the 5th power
c 8x 10 to the 5th power
d 4x20 to the 5th power

simplify: write in scientific notation.(9 x 10 to the negative 3 power) squared

Asystem of linear equations with more equations than unknowns is sometimes called an overdetermined system. can such a system be consistent? illustrate your answer with a specific system of three equations in two unknowns. choose the correct answer below. a. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 6 b. no, overdetermined systems cannot be consistent because there are fewer free variables than equations. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 12 c. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 8 d. no, overdetermined systems cannot be consistent because there are no free variables. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 24