Multiplication Properties of Exponents
Simplify the expression: [(b11)4]2
b88
Simplify the expression: (k^7m^10p)/(k^5m^3p)
k2m7
Write each expression in radical form, or write each radical in exponential form.
sqrt26
sqrt44
2sqrt(ab)
sqrt(3xyz)
26^((1)/(2)
44^((1)/(2)
2(ab)^((1)/(2)
(3xyz)^((1)/(2)
Express the scientific notation in standard form, or the standard form in scientific notation.
68,700,000,000
9.03 x 10-5
1.22 x 106
6.87 x 1010
0.0000903
1,220,000
Evaluate a(bx) for the given values:
a = -3, b = 5, x = 2
-75
Simplify the expression: (-4rx2t3)(-6r5x2t)
24r6x4t4
Simplify the expression: ((4x^3)/(5y^4))^3
(64x^9)/(125y^12)
Simplify.
c^((1)/(2)) . c^((3)/(2))
9^(-(1)/(2))
(8^2)^((2)/(3))
(d^((4)/(3)))^0
c^2
(1)/(3)
16
1
Express in scientific notation.
Approximately 100 million emails sent to the President are put into the National Archives.
1 x 108
Write the equation in slope-intercept form.
y - 1 = (2)/(3)(x + 9)
y = (2)/(3)x + 7
Express the area of a triangle with height 6a2b and base 7ab4c as a monomial.
21a3b5c
Simplify the expression: (-2f^3g^2h^0)/(8f^2g^2)
(-f)/(4)
Solve the equation.
2^(5x)=8^(2x-4)
12
Evaluate the product. Express the results in both scientific notation and standard form.
(1.2 x 103) (1.45 x 1012)
1.74 x 1015
1,740,000,000,000,000
Solve the inequality.
-6(b + 5) > 3(b - 5)
b < -(5)/(3)
Simplify the expression: (5x2y)2 (2xy3z)3 (4xyz)
800x8y12z4
Simplify the expression: ((a^-2b^4c^5)/(a^-4b^-4c^3))^2
a4b16c4
Solve the equation.
6^(8-x)=(1)/(216)
11
Evaluate the quotient. Express the results in both scientific notation and standard form.
(1.035 xx 10^8)/(2.3 xx 10^4)
4.5 x 103
4,500
Determine the number of solutions, if there is a solution, name the solution.
2x + y = -4
5x + 3y = -6
One solution; (-6, 8)
Simplify the expression: (-3r3w4)3 (2rw)2 (-3r2)3 (4rw2)3 (2r2w3)4
2,985,984r28w32
Simplify the expression: ((-3x^-6y^-1z^-2)/(6x^-2yz^-5))^-2
(4x^8y^4)/(z^6)
A weir is used to measure water flow in a channel. For a rectangular broad crested weir, the flow Q in cubic feet per second is related to the weir length L in feet and height H of the water by Q = 1.6LH3/2. Find the water height for a weir that is 3 feet long and has flow of 38.4 cubic feet per second.
4 ft
Evaluate the quotient. Express the results in both scientific notation and standard form.
(2.05 xx 10^-8)/(4 xx 10^-2)
5.125 x 10-7
0.0000005125
The Blue Mountain High School Drama Club is selling tickets to their spring musical. Adult tickets are $4 and student tickets are $1. A total of 285 tickets are sold for $765. How many of each type of ticket are sold?
160 adult, 125 student