chap 3 powers & exponents

Question 1

Power

Answer 1

an expression made up of a BASE and EXPONENT
ie: 5sqr2 (5 is base) (2 is exponent) (5sqr2 is power)

Question 2

Base

Answer 2

the number you multiply by itself in a power

Question 3

exponent

Answer 3

the number of times you multiply the base in a power (the small num)
ie: 5sqr2 (5x5)

Question 4

Repeated multiplication

Answer 4

multiplying the number by itself repeatedly
ie: 5x5x5x5x5

Question 5

Exponential form

Answer 5

a shorter way of repeated multiplication using a base and exponent
ie: 5x5x5x5x5 = 5sqr5

Question 6

reading exponents

Answer 6

2sqr3 can be read as;
-“two cubed”
-“two to the third”
-“two to the exponent three
-“two to the power of three”

Question 7

Power with negative bases

Answer 7

If base is neg there watch out
-if the neg base is in () the exponent is EVEN the answer will be + ie: (-2)sqr2 = +4

-if the neg base is in () and the exponent is ODD the answer will - ie: (-2)sqr3 =-8

-if the neg base is not in () the answer will b -

Question 8

Zero power

Answer 8

any power with the base of 0 is always equal to 0
ie: 0sqr5 = 0

Question 9

Zero exponent

Answer 9

any power with an exponent of 0 is always 1
ie: 5sqr0 = 1

Question 10

product of powers

Answer 10

when multiplying powers with the same base you add the exponents to write the product as a single power
ie= 5sqr2 x 5sqr3 = 5sqr5

Question 11

quotient(division) of powers

Answer 11

when dividing powers with the same base instead of adding you subtract the exponents
ie: 5sqr3 ÷ 5sqr1 = 5sqr2

Question 12

power of power

Answer 12

when a power is raised to an exponent, multiply the exponents to write the expression with single exponent
ie: (2sq4)sq2 = 2sq4(sq2) = 2sq8

Question 13

Power of a product

Answer 13

when a product is raised to an exponent you can rewrite each factor in the product with the same exponent
ie: (2x4)sq2 = 2sq2 x 4sq2

Question 14

power of quotient

Answer 14

when a quotient is raised to an exponent you can rewrite each number in the quotient with the same exponent
ie: (1/4)sq2 = 1sq2/4sq2

Question 15

Bedmas?

Answer 15

brackets, exponents, division, multiply, adding, subtracting.
expressions w/ power can have a numerical coefficient
ie: -3 (-5)sq2
-3 (+25)
= -75

Question 16

POWER FORMULAS

Answer 16

powers are found in many formulas, repeated multiplication represented by a power
ie: 6(4x4)
6(4sq2)
=6(26) = 96 cm2