Exponents
Write the following as an exponent:
1/2*1/2*1/2*1/2*1/2*1/2*1/2
(1/2)^7
Simplify the product as a single exponent
(-2)^3*(-2)^58(-2)^2
(-2)^10
Write the following in scientific notation
0.000035
3.5x10^-5
How many times larger is
(8xx10^4)
than
(2xx10^2)
4xx10^2
Simplify
(2^4)^3
2^12
Evaluate the expression in standard form:
(3^-1)^-2
9
Simplify the following into a single exponent
7^-4*7^2
1/7^2
Find the product write in scientific notation
(4xx10^4)*(2xx10^-3)
8xx10^1
Express the product of 200 and 300 in scientific notation.
6xx10^4
Simplify
(2x)^3
8x^3
Write the following in expanded form:
(5/4)^2*(-2)^3
(5/4)xx(5/4)xx(-2)xx(-2)xx(-2)
or
(5*5*-2*-2*-2)/(4*4)
Simplify the following
5^4
5^4
Estimate the following to third decimal place:
(5.33xx10^2)+(8.85xx10^4)
8.903xx10^4
Pluto is about 6xx10^9 from the sun. Mars is about 2xx10^8 kilometers from the sun. How many times farther is pluto from the sun than mars?
3xx10^1 or 30
Simplify
5^2/(5^2*5^8)
1/5^8
Write in exponential form using only positive exponents?
4*4*8*8*4*(1/4)^-4
4^7*8^2
Simplify the following
(7^3*7^-2)/7^5
1/7^4
Find the quotient in scientific notation
(1.2xx10^3)divide(4xx10^6)
3xx10^-4
There are 3.2xx10^23 molecules of water in a solution and 6.4xx10^24 molecules of salt in the same solution. How many total molecules are in the solution?
6.72xx10^24
Simplify
(2d^10)^-2
1/(4d^20
What value of x makes the equation true?
(3^2*3^6)/3^x=3^-2
x=10
Simplify the following
((4x^2y^3)^0/(-3x^-1y^2))^3
-x^3/(27y^6
Subtract the following:
(3.6xx10^-5)-(5xx10^-4)
-4.64xx10^-4
The diameter of planet A is 3xx10^15 in miles. The diameter of planet B is 6xx10^13 in miles. How many times could you travel around planet B before traveling the distances of planet A's diameter?
50
or
5xx10^1
Simplify
((6c^6*c^3)/(2c^2))^-1
1/(3c^7