1. Which of the following mathematical statement is true?
a. r⁰ = 1/r
b. r⁰ = r
c. r⁰ = 0
d. r⁰ = 1
2. Divide 3⁰ by 3^-2
a. 0
b. 1/9
c. 1
d. 9
3. Evaluate 2⁰•7⁰/5⁰
a. 0
b. 1/5
c. 1
d. 9/5
4.Rewrite (2m^-2/y³)^-2 with positive exponents.
a. m⁴y⁶/4
b. 4/m⁴y⁶
c. 4m⁴/y⁶
d. m/4y⁶
5. A puppy weighs 1.5^-1 kilogram. If it is possible for it to grow 1.5² times its body weight per month, how many kilograms can it reach in two months?
a. 1.515
b. 2.725
c. 3.375
d. 5.115
6. Which of the following statements is TRUE?
a. 0 -½ = 0
b. (-1)-¾ = 1
c. (-4)^3/2 = -8
d. -4^3/2 = -8
THIS IS NOT A FRE.epOINTS!
I already answered it with my own solution. I am just now searching for some solution for no.2-5 and I'll take a look to my own solution if it was completely right.
So, if you'll gonna answer it with letters only your answer will be automatically reported.
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Solutions:
1. Any number, except zero, when raised to zero, is always 1. The answer is D
2. (3^0) / (3^-2)
= 1 / ( 1 / 3^2)
= 1 / (1/9)
= 9
3. Same as one, but the solution is :
(2^0 • 7^0) / 5^0
= (1 • 1) / 1
= 1 /1
= 1
4. This is tricky, tricky to type:
((2m^-2)/(y^3))^-2
= (1 / ((2/m^2)/(y^3))^2 )
= (1 / (2/(m^2•y^3))^2 )
= 1 / (4/(m^4•y^6) )
= (m^4•y^6)/4
5. 2 months means :
(1/1.5) • (1.5²) • (1.5²)
= (1.5) • (1.5²)
= (1.5)³
= 3.375
6. Its obvious. Its D. You can never get the square root of undefined number.