Exponent Laws
Using Exponent Laws
Parentheses
Powers of 10
Scientific Notation
100
When multiplying powers with the same base, what do you do with the exponents?
Add the exponents and keep the base.
100
Simplify:
4^7divide4^9
4^-2 or 1/4^2
100
Write the following as repeated multiplication:
-2^4
-(2times2times2times2)
100
write the following as a power of 10
10000
10^4
100
What is the term for the number before times 10^n in scientific notation?
The coefficient
200
Explain the difference between these two equations:
x^3 timesx^4 and (x^3)^4
Multiplication adds exponents; a power raised to a power multiplies exponents.
200
Simplify:
(3^5times3^2)/3^4
3^3
200
Evaluate
(-4)^3
-64
200
How many times larger is 10^8 than 10^5 ?
1000 times
200
Convert the following number to scientific notation:
0.00000653
6.53times10^-6
300
Which exponent law is being applied
(2^3/4)^9=2^27/4^9
The quotient or fraction law
300
Identify the mistake:
(2x^3)^2=64x^6
The exponent attached to the x was applied to 2, which it is not touching.
300
Which is greater
-(2)^5 or -2^5
Neither, they are the same.
300
Put the following numbers in order from smallest to largest
3.2times10^-4, 8.1times10^-5, 2.5times10^-3
8.1times10^-5, 3.2times10^-4, 2.5times10^-3
300
Write the following number in standard notation:
2.4739times10^9
2 473 900 000
400
A student says that the following equation is correct. Explain their mistake.
2^3+3^2=6^5
You cannot add exponents when adding terms. The product law only applies when multiplying powers with the same base.
400
Simplify:
((2^2)^3)^3
2^12
400
Explain the difference between (-4)^2 and -4^2
(-4)^2=16 :the exponent is applied to the negative sign and the 4.
-4^2=-16 :the exponent is only applied to the 4
400
What is the value of 10^-5 , written as a decimal?
0.00001
400
A bacterium is 2times10^-6 m long. What is the combined length of 100 identical bacteria placed end to end?
2times10^-4m
500
Why does any base raised to the power of 0 = 1?
Any nonzero number divided by itself equals 1. Using the quotient law,
x^n/x^n=x^(n-n)=x^0=1
500
Identify the error made by the student and provide the correct answer
500
Without calculating, which number will be greater:
(-23)^789 or (-71)^422
(-71)^422
500
What happens to the value of a power of 10 when its exponent increases by 1?
The value becomes 10 times larger
500
Write the equation to solve the following problem:
A culture contains 80 bacteria. It's population is halved every hour. How many bacteria are present after 2 hours?
80times(1/2)^h