Mid Chapter Review
Chapter
Chapter 2
Section
Mid Chapter Review
You need to sign up or log in to purchase.
You need to sign up or log in to purchase.
Solutions 40 Videos

Express each of the following as a power with single exponent.

a) \displaystyle (7^3)^5 

b) \displaystyle (x^4)^6 

c) \displaystyle (x^3)^2 

Buy to View
Q1

Express each of the following as a power with a different base.

a) \displaystyle 16 

b) \displaystyle 4^3 

c) \displaystyle 9^4 

Buy to View
Q2

Express each of the following as a power with a single exponent.

\displaystyle \begin{array}{llllll} &(a) \phantom{.} (3^4)^2 &&(c) \phantom{.} (2^5)^3 &&(e) \phantom{.} (x^2)^3 \\ &(b) \phantom{.} (9^4)^3 &&(d) \phantom{.} (10^6)^6 &&(f) \phantom{.} (5^2)^4 \end{array} 

Buy to View
Q3

Simplify.

\displaystyle 5^35^6 

Buy to View
Q4a

Simplify.

\displaystyle (-2)^3(-2)^7 

Buy to View
Q4b

Simplify.

\displaystyle \frac{5^6}{5^2} 

Buy to View
Q4c

Simplify.

\displaystyle \frac{7^37^6}{7} 

Buy to View
Q4d

Simplify.

\displaystyle 7^32^67^22^5 

Buy to View
Q4e

Simplify.

\displaystyle \frac{7^32^6}{7^22^5} 

Buy to View
Q4f

Simplify.

\displaystyle (\frac{5}{7})^3(\frac{5}{7})^6 

Buy to View
Q5a

Simplify.

\displaystyle \frac{(- \frac{2}{5})^{13}}{(- \frac{2}{5})^7} 

Buy to View
Q5b

Simplify.

\displaystyle (3.1)^8(3.1)^2 

Buy to View
Q5c

Simplify.

\displaystyle \frac{(0.012)^3}{0.012} 

Buy to View
Q5d

Simplify.

\displaystyle x^2x^6 

Buy to View
Q6a

Simplify.

\displaystyle y^3y^6 

Buy to View
Q6b

Simplify.

\displaystyle \frac{m^6}{m^5} 

Buy to View
Q6c

Simplify.

\displaystyle \frac{n^3n^2}{n} 

Buy to View
Q6d

Simplify.

\displaystyle ab^7a^3b^4 

Buy to View
Q6e

Simplify.

\displaystyle \frac{x^5y^6}{x^3y} 

Buy to View
Q6f

Simplify.

\displaystyle 2^3x^22^2x^5 

Buy to View
Q7a

Simplify.

\displaystyle 5^3y^35^3y^6 

Buy to View
Q7b

Simplify.

\displaystyle \frac{4^4m^6}{4m} 

Buy to View
Q7c

Simplify.

\displaystyle \frac{6^3q^5q^2}{6q^4} 

Buy to View
Q7d

The diameter of the Earth is about 1.3 X 104 km. The diameter of the Sun is about 1.4 \times 10^6 km. About how many “Earths” could you line up along the Sun’s diameter?

Buy to View
Q9

Simplify

\displaystyle (4^3 \times 3^2)^2 \times (4^5 \times 3^2)^3 

Buy to View
Q10a

Simplify

\displaystyle \frac{(2^5 \times5^2)^2}{(2^4 \times 5)^2} 

Buy to View
Q10b

Simplify

\displaystyle (2x^3)^7 

Buy to View
Q10c

Simplify

\displaystyle [(\frac{8}{5})^3]^4 

Buy to View
Q10d

Express each of the following numbers with the base indicated:

32^3 with a base of 2

Buy to View
Q11a

Express each of the following numbers with the base indicated:

81^2 with a base of 9

Buy to View
Q11b

Express each of the following numbers with the base indicated:

81^2 with a base of 3

Buy to View
Q11c

Express each of the following numbers with the base indicated:

100^{15} with a base of 10

Buy to View
Q11d

Simplify.

\displaystyle (5^3)^5(5^4)^4 

Buy to View
Q12a

Simplify.

\displaystyle (x^3)^4(x^5)^4 

Buy to View
Q12b

Simplify.

\displaystyle (m^3)^4(2x^3)^7(m^3)^4(x^3)^7 

Buy to View
Q12c

Simplify.

\displaystyle \frac{(m^3)^4(2x^2)^7}{2^5(m^3)^3(x^3)^2} 

Buy to View
Q12d

The length of the side of a cube is 3^5. Express its surface area (SA) and volume (V) using powers and simplify. Buy to View
Q13

Determine an expression for the area of the square drawn on the hypotenuse. Buy to View
Q14