Multiplication Properties of Exponents
Simplify
m^4(m^2)
m^6
Simplify
(t^5u^4)/(t^2u
t^3u^3
Write the expression in radical form.
3x^(1/2
3sqrtx
Express the number in scientific notation.
185,000,000
1.85 times 10^8
The population of the United States has been increasing at an average rate of 0.91%. If the population was about 303,146,000 in 2008, predict the population in 2012.
314,332,051
Simplify
2q^2(9q^4)
18q^6
Simplify
((3f^4gh^4)/(32f^3g^4h))^0
1
Write the radical in exponential form.
sqrt(8n)
(8n)^(1/2)
Express the number in standard form.
4.052 times 10^6
4,052,000
Determine the value of an investment of $2500 if it is invested at an interest rate of 5.25% compounded monthly for 4 years.
$3,082.78
Simplify
[(3^2)^2]^2
3^8=6561
Simplify
(-8x^2y^8z^-5)/(12x^4y^-7z^7)
(-2y^15)/(3x^2z^12)
Simplify
root(3)(512
8
Evaluate
(1.2 times 10^3)(1.45 times 10^12)
1.74 times 10^15=1,740,000,000,000,000
Mr. Gossell is a machinist. He bought some new machinery for about $125,000. He wants to calculate the value of the machinery over the next 10 years for tax purposes. If the machinery depreciates at the rate of 15% per year, what is the value of the machinery (to the nearest $100) at the end of 10 years?
$24,600
Simplify
(-2g^3h)(-3gj^4)^2(-ghj)^2
-18g^7h^3j^10
Simplify
(2a^2b^-7c^10)/(6a^-3b^2c^-3)
(a^5c^13)/(3b^9)
Solve
8^x=4096
4
Evaluate
(1.035 times 10^8)/(2.3 times 10^4)
4.5 times 10^3=4500
Paul invested $400 into an account with 5.5% interest rate compounded monthly. How much will Paul's investment be worth in 8 years?
$620.46
Simplify
(-3/4c)^3
-27/64c^3
Simplify
((2c^3d^5)/(5g^2))^5
(32c^15d^25)/(3125g^10)
Solve
3^(3x+1)=81
1
Evaluate
(2.05 times 10^-8)/(4 times 10^-2)
5.125 times 10^-7=0.0000005215
In 2000, 2200 students attended Saginaw High School. The enrollment has been declining 2% annually. If this trend continues, how many students will be enrolled in 2015?
1624