Rules
What do we do when we have exponents with the same bases being multiplied?
Keep the base and add the exponent
Write each expression using a positive exponent.
9-4
1/9^4
Express each number in standard form.
9 x 10-2
0.09
Simplify the expression using only positive exponents.
(3^8*7^4*11^6)/(3^2*7^3*11^3)
3^6*7*11^3
What two consecutive whole numbers is sqrt67 between?
8 and 9
The first number in scientific notation has to be between __ and __.
1, 10
Simplify using positive exponents
(3x^4)^4
3^4x^16 or
81x^16
Convert to scientific notation: 8,000,000
8 xx 10^6
Evaluate (-2)6·(-3)2.
576
Which symbol completes the statement?
68/19 _____ sqrt10
>
What do we do when we have exponents with the same bases being divided?
Keep the base subtract the exponents
Simplify write using positive exponents.
3^-5 * 3^2
1/3^3
Convert to standard notation:
3.0 xx 10^-3
0.003
x^7/x^10
1/x^3
Estimate root(3)(-81) to the nearest tenth.
-4.3
When looking at a number in scientific notation, what does a negative power of 10 indicate?
A) A very small number
B) A very large number
A) A very small number
Simplify using positive exponents.
k^10 / k^4
k6
Evaluate (7.4xx10^6)-(2.1xx10^5) . Express the result in scientific notation.
7.19xx10^6
Evaluate (m^4+5)-n^3 if m=-2 and n=-4
85
Solve the equation s^3=91.125
4.5
What is the name of this exponent property:
(xm)n = xmn
Power of a Power Property
Simplify the expression (68)4.
632
Convert to scientific notation: 0.03452
3.452 xx 10^-2
Simplify the expression (3a^4)(-6a^3) .
-18a7
A cement path consists of six equal-sized cement squares arranged in a row to form a rectangle. If the total area of the path is 96 square feet, what is the length in feet of the path?
24
Simplify the following expression using positive exponents.
(2^9/(3*x^2)^12)^0
1
a^3b^5a b^2a^-7
b^7/a^3
Jupiter has a mass of about 1.9×1027 kilograms. Earth has a mass of about 6×1024 kilograms. About how many times greater is the mass of Jupiter than the mass of Earth? Express your answer in standard form.
317
y^3x^4yx^-2z
y^4x^2z
The formula v=1.225sqrta is used to estimate how far a person can see on a clear day, where V is the visibility in miles and a is the altitude in feet. What is Ty’s visibility if he is looking out the upper window of a building with an altitude of 1,602 feet? Round your answer to the nearest whole number.
49