4/17- Laws of Exponents- Assignment - DIANA FRANCHINI | Biblioteka

1

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}

1

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}

1

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}

1

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}

1

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}}

1

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}

1

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}}

1

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}

1

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

1

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}

1

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}

1

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}

1

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}

1

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}}

1

Which expression below is equivalent to \frac{15m^{-3}n^{\frac{3}{2}}}{10mn^{-1}} after it is simplified?

\frac{3n^{\frac{5}{2}}}{2m^{4}}

\frac{3n^{-\frac{5}{2}}}{2m^{-4}}

\frac{3m^{4}n^\frac{1}{2}}{2}

\frac{3n^\frac{1}{2}}{2m^2}