Exponents Power to a Power

Multiple Choice

Simplify. $$\left(y^{-4}\right)^3$$

• $$y^{12}$$

• $$\frac{1}{y}$$

• $$\frac{1}{y^{12}}$$

• $$\frac{1}{y^7}$$

Multiple Choice

Simplify. $$x^3\ \left(x^2\right)^{-4}$$

• $$\frac{1}{x^3}$$

• $$\frac{1}{x^5}$$

• $$x^{11}$$

• $$x^5$$

Multiple Choice

Simplify. $$\left(-3n\right)^4$$

• $$81n^4$$

• $$\frac{1}{81n^4}$$

• $$\frac{81}{n^4}$$

• $$\frac{-1}{81n^4}$$

• $$-12n^4$$

Multiple Choice

Simplify. $$\left(-7a^5b^3\right)^2$$

• $$49a^{10}b^6$$

• $$-49a^{10}b^6$$

• $$-14a^{10}b^6$$

• $$49a^7b^5$$

• $$-14a^7b^5$$

Multiple Choice

Simplify. $$\left(-3mn\right)^2\left(-2m^{-4}n^7\right)^3$$

• $$-72mn^{14}$$

• $$\frac{72n^{23}}{m^{10}}$$

• $$-72m^{10}n^{23}$$

• $$\frac{-72n^{23}}{m^{10}}$$

Multiple Choice

Solve. $$\left(8^6\right)^x\ =\ 8^{-24}$$

• x = 4

• x = -4

• x = -30

• x = 18