Mid-Chapter Quiz W Go t o Po werAlg eb ra.co mMathXL® for School^
Do yo u k n o w H OW?
Simplify each expression.- 5_ 1 (3~2)
2.n-4
p°q 2- 3x"4
- d~4t3
- 3°s~2t2
Write each expression in simplest form. - ( 2 x 5 )(3xi)
- a2b°(a~3)
- 6 x 5. 5xl
9. 02 • (^1) t)2. 1
10. (n 3 )(a3)
Simplify each expression.
11. (x?yt)4
- {3tl)3{2t0)~3
- (a3)4
- ( a l)5
- (xy3z5) 2
Simplify each quotient.
16.7b617.b418.19.20.6 x
3x4
—2 5 a^be
5akb4
12 S2f5
s2t2- Astronomy The radius of Mars is about
3.4 X 10 3 km. What is the approximate surface area
of Mars? Use the formula for the surface area of a
sphere, S.A. = 47 rr2. Write your answer in scientific
notation. - Geometry A box has a square bottom with sides of
length 3x 2 cm. The height of the box is 4xy cm. What
is the volume of the box? - Evaluate \a~4b2 for a = — 2 and b = 4.
Do yo u UN DERSTAN D?- Reasoning A population of bacteria triples every
week in a laboratory. The number of bacteria is
modeled by the expression 900 • 3X, where x is the
number of weeks after a scientist measures the
population size. When x = -2, what does the value
of the expression represent? - Use the properties of exponents to explain whether
each of the following expressions is equal to 64.
a. 25 • 2 b. 22 • 23 c. (22)(22) 2 - Reasoning Can you simplify [b^ • c? )(ba • ca)?
Explain. - Writing Is the following statement always,
sometimes, or never true? Explain your choice.
A number raised to a negative exponent
is negative. - Error Analysis Identify and correct the error in the
student’s work below.
446 Ch ap t er 7 Mid-Chapter Quiz