Laws of Exponents
Simplify
(-1/2)^5(-1/2)^2
(-1/2)^7
What is the law of exponent used below?
7^0=1
Zero Exponent Law
Write 3,200,000 in scientific notation.
3.2xx10^6
Evaluate.
((2)^3)^2
64
Evaluate
27^0
1
Simplify
((-3)^2)^3
(-3)^6
What is the law of exponent used below?
(1/6)^-1=6/1=6
Negative Exponent Law
Write
5.03xx10^5
in standard form.
503,000
Evaluate
(-5)^9/(-5)^6
-125
What law of exponents would be used below?
17^1
Identity Law
Rewrite the expression with positive exponents.
((6/11)^6)^-4
(11/6)^24
What is the law of exponent used below?
((-3)^2)^3=(-3)^6
Power of a Power Rule
Write 105,800 in scientific notation.
1.058xx10^5
Evaluate.
((1/4)^2*(1/4)^0)/(1/4)^-2
1/256
Evaluate
((9/13)^-2)^-3*(9/13)^-8
169/81
Simplify
((1.1)^-2(1.1)^3)/((1.1)^3(1.1)^-5)
(1.1)^3
What is the law of exponent used below?
(-3)^8/(-3)^5=(-3)^3
Quotient of Powers
Write 13,520,000 in scientific notation.
1.352xx10^7
Evaluate
((-5)^3*4^0)/(-1)^7
125
Write an expression equivalent to
(-8)^-4*(-8)^2
1/64
(-8)^-2
((-8)(-8))/((-8)(-8)(-8)(-8))
Simplify
(-8/15)^-3*15^-4/(-8)^-2
-1/120
What laws of exponents would be used below?
((1.1)^-2(1.1)^3)/((1.1)^3(1.1)^-5)
Negative exponent law
Product of Powers
Quotient of Powers
Write in standard form.
3.38xx10^6
3,380,000
Evaluate
(15/8)^0-:(2/5)^-3
8/125
In 2015, the value of the freight, in dollars, that came into Florida was
3.46xx10^11
. The value of the freight, in dollars, that flowed within Orlando was
1.73xx10^10
. How many times larger is the value of the freight, in dollars, that came into Florida than the freight that flowed within Orlando?
20 times larger