Which expression is equivalent to (3w^{2})(4w^{12}) for all values of w where the expression is defined?
7w^{24}
12w^{14}
7w^{14}
12w^{24}
Which expression is equivalent to -4n(n^{3}) for all values of n where the expression is defined?
4n
4n^{4}
-4n^{3}
-4n^{4}
Which expression is equivalent to \frac{m^{4}}{2m^{2}}for all values of m where the expression is defined?
{2m^{2}}
{2m^{4}}
\frac{1}{2m^{2}}
\frac{m^{2}}{2}
Which expression is equivalent to (-8m^{4})(\frac{1}{4}m^{8}) for all values of m where the expression is defined?
\frac{1}{4}m^{12}
-2m^{12}
-2m^{32}
-8m^{32}
Which expression is equivalent to \frac{x^{3}}{x^{6}} for all values of x where the expression is defined?
x^{3}
\frac{1}{x^{-3}}
x^{9}
\frac{1}{x^{3}}
Which expression is equivalent to(3xy^{5}z^{4})(x^{2}yz) for all values of x, y and z where the expression is defined?
3x^{2}y^{5}z^{4}
4x^{3}y^{5}z^{5}
3x^{3}y^{6}z^{5}
4x^{3}y^{6}z^{4}
Which expression is equivalent to \frac{100w^{5}y^{6}}{50w^{7}y^{3}} for all values of w and y where the expression is defined?
\frac{2y^{3}}{w^{2}}
25w^{2}y^{3}
\frac{y^{3}}{2w^{2}}
\frac{25y^{3}}{w^{2}}
Which expression is equivalent to (5ab^{2})^{2}for all values of a and b where the expression is defined?
7a^{3}b^{4}
5a^{2}b^{4}
10a^{2}b^{4}
25a^{2}b^{4}
Which expression is equivalent to (x^{\frac{1}{2}})^4\cdot{y^{\frac{1}{2}}}\cdot{y^{\frac{1}{2}}} for all values of x and y where the expression is defined?
x^{\frac{9}{2}}y
(xy)^3
x^{2}y^{\frac{1}{4}}
x^{2}y
Which expression is equivalent to \frac{3a^{3}b^{4}c}{6a^{5}b} for all positive values of a, b and c?
\frac{b^{5}c}{2a^8}
\frac{2b^3}{a^2c}
\frac{a^2b^{3}c}{2}
\frac{b^{3}c}{2a^2}
Which expression is equivalent to \frac{a^{-3}b^{-2}}{ab} for all positive values of a and b?
a^{2}b
\frac{1}{a^{2}b}
\frac{1}{a^{4}b^{3}}
\frac{1}{(ab)^7}
Which expression is equivalent to (3x^{2}y^{-3}z)(\frac{2xz}{3y^{2}}) for all values of x, y and z where the expression is defined?
\frac{2x^{3}z^2}{y}
\frac{2x^3}{y^5}
\frac{2x^{3}z^2}{y^5}
2x^{2}y^{5}z^{2}
Which expression is equivalent to \frac{3a^{3}b^{4}c}{6a^{5}b} for all positive values of a, b and c?
\frac{b^{3}c}{2a^2}
\frac{b^{5}c}{2a^8}
\frac{a^2b^{3}c}{2}
\frac{2b^3}{a^2c}
Which of the following is an equivalent expression to \frac{2w^{-5}y^{-3}}{-10w^2x^{-2}y^{-3}}?
-\frac{x^2}{5w^7}
-\frac{x^2w^7}{5}
-\frac{x^2w^7}{5y^{-6}}
-\frac{x^2}{5w^7y^{-6}}
Which expression below is equivalent to \frac{15m^{-3}n^{\frac{3}{2}}}{10mn^{-1}} after it is simplified?