1. simplify. 5–1(3–2)
a) 45
b) 1/45
c) 15^–3
d) 15^2 
2. simplify. mn^-4/p^0q^-2
a) mq^2/n^4
b) mp/n^4
c) mn^4q^2p^0
d) q^2/mn^4 
3. write in scientific notation. 0.0042
a) 42 × 10^2
b) 4.2 × 10^4
c) 4.2 × 10^3 
d). 42 × 10^4
4. write in standard notation. 6.12 × 10^3
a) 6,120 
b) 612
c) 61,200
d) 61.2
5. simplify. write in scientific notation. 0.5(8 × 10^5)
a) 8 × 5^5
b) 4 × 5^5
c) 8 × 10^5
d) 4 × 10^5 
6. simplify. write in scientific notation. (9 × 10^3)^2
a) 8.1 × 10^5
b) 81 × 10^4
c) 81 × 10^3
d) 8.1 × 10^6 
7. evaluate 1/2a^4b^2 for a = –2 and b = 4.
a) 2 
b) 1/2
c) 3
d) 4
8. is the following statement always, never, or sometimes true?
a number raised to a negative exponent is negative.
a) always
b) never
c) sometimes 
9. simplify (4xy^2)^3(xy)^5 (1 point)
a) 64x^8y^11
b) 64x^15y^30
c) 12x^2y^11
d) 12x^8y^11 
10. simplify (2t^3)^3(0.4r)^2 (1 point)
a) 3.2r^2
b) 1.28r^2/t^-6 
c) 1.28r^2/t^9
d) 0.8r^2/t^-6

1. 5^-1(3^-2) = (1/5)*(1/3^2) = 1/5*3^2 = 1/45

2. mn^-4/p^0q^-2 = m*q^2/n^4  

p^0 = 1

1/q^-2 = q^2

3. 0.0042 = 4.2*10^-3

multiply by 10^-3 is the same as divide by 1000; 4.2 divided by 1000 is 0.0042

4. 6.12 × 10^3 = 6.12*1000 = 6,120

5. 0.5*(8*10^5) = (0.5*8)*10^5 = 4*10^5

6. (9*10^3)^2 = 9^2* (10^3)^2 = 81 * 10^(3*2) = 81*10^6

7. 1/(2a^4) * b^2 for a = –2 and b = 4 = 1/(2*(-2)^4) *4^2 = 1/(2*16) *16 = 1/2

8. Sometimes a number raised to a negative exponent is negative. For example 1^(-2) = 1 and (-1)^(-1) = -1

9. (4xy^2)^3(xy)^5 = 4^3 * x^3 * (y^2)^3 * x^5 * y^5 = 64 * x^(3+5) * y^(2*3) * y^5  = 64*x^8* y^(6+5) = 64*x^8*y^11

10. (2t^(-3))^3 * (0.4r)^2 = 2^3 * t^(-3*3) * (0.4)^2 * r^2 = 8 * t^(-9) * 0.16 * r^2 = 1.28*r^2/t^9

b

step-by-step explanation:

step-by-step explanation:

1. practice, practice & more practice

2. review errors

3. master the key concepts

do not try to memorise the processes.

4. understand your doubts.

5. create a distraction free study environment

6. create a mathematical dictionary

7. apply maths to real world problems.