Transcript Powers and exponents1

POWERS AND EXPONENTS
POWERS & EXPONENTS
VOCABULARY
• FACTORS - numbers that
are multiplied together.
• BASE - the number being
used as a factor.
• EXPONENT - tells how
many times a number is
used as a factor.
POWERS & EXPONENTS
VOCABULARY
• POWER - a number that is
expressed using exponents.
• SQUARED - a number that
has an exponent of 2.
• CUBED - a number that has
an exponent of 3.
EXPONENT FORM
exponent
base
2³
FACTOR FORM
2³ = 2 x 2 x 2
factors
STANDARD FORM
2³ = 2 x 2 x 2
4x2
8
POWERS AND EXPONENTS
Exponent Form
4³
7²
m5
Factor Form
Standard form
4x4x4
7x7
mm m m m
64
49
Follow Order of Operations
5 + 3² - 8
5+3x3-8
5+9-8
14 - 8
6
What is the value of m² + n³,
if m=4 and n =5?
4² + 5³
4x4+5x5x5
16 + 5 x 5 x 5
16 + 25 x 5
16 + 125
141
CRITICAL THINKING:
Exponent
Factor
Standard
Form
Form
Form
10²
10 x 10
100
10³
4
10
10 x 10 x 10
1000
10000
10 x 10 x 10 x10
20
How could you find 10
without using a calculator?
A light year is the distance
light travels in one year. The
Milky Way galaxy is about
100,000 light years wide.
Write 100,000 as a power
with 10 as the base.
10
5