- Astronomy The distance light travels in one second (one light-second) is about
1 .86 X 105 mi. Saturn is about 475 light-seconds from the sun. About how many
miles from the sun is Saturn?
Q ApplySimplify each expression.
22. 83Simplify each expression.- 16*
Simplify each expression. - ^ 8 hi • 9t ^ 8h i • 9 fsj
- 6254
- 93
- 10003
- 645
#5. [lc& • 2 gsj^ 2 gi • 7 dej 30. ^4rs • 5s^ 5s^ • 4rsj
See Pr o b l em 4.Se e Pr o b l e m 5.Se e Pr o b l e m 6.Complete each equation.- 5~ • 5 = 5 11
- am • a4 = 1
29- ms • m 4 = m 9
- • a as
33. 2 • 22 = 2 1
36. x3y^ i —^2 - Think About a Plan A liter of water contains about 3.35 X 1025 molecules. The
Mississippi River discharges about 1.7 X 107 L of water every second. About how
many molecules does the Mississippi River discharge every minute? Write your
answer in scientific notation.
- How can you use unit analysis to help you find the answer?
- What properties can you use to make the calculation easier?
3 1
- When you simplify an algebraic expression like cs • c 2 , you know that the bases of
the expressions must be the same. You also need to rewrite the exponents so that
they have a common denominator.
a. Explain why you need to find the common denominator to simplify. 3 1
b. Simplify the expression C 5 • c"2.
Simplify each expression. Write each answer in scientific notation.- (9 X 107)(3 X 1(T16) 40. (0.5 X 1(T6)(o.3 X 10“2) 41. (o.2 X 105)(4 X 10-12)
- Chemistry In chemistry, a mole is a unit of measure equal to 6.02 X 1023 atoms of a
substance. The mass of a single neon atom is about 3.35 X^10 ~23 g. What is the mass
of 2 moles of neon atoms? Write your answer in scientific notation.
Simplify each expression.43'n* • n 0 44.^8 ms(ms + 2) 45. -4x^3 (3x^3 -10x)- a. Open-Ended Write y6 as a product of two powers with the same base in four
different ways. Use only positive exponents.
b. Write y 6 as a product of two powers with the same base in four different ways,
using negative or zero exponents in each product.
c. Reasoning How many ways can you write y 6 as the product of two powers?
Explain your reasoning.
430 Ch ap t er 7 Ex p o n e n t s a n d Ex p o n e n t i a l Fu n c t i o n s