Solve (a^-2)^-3(bc^-1)^3

$$( a ^ { - 2 } ) ^ { - 3 } ( b c ^ { - 1 } ) ^ { 3 }$$

Evaluate

$$\left(\frac{b}{c}\right)^{3}a^{6}$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply -2 and -3 to get 6.

$$a^{6}\left(bc^{-1}\right)^{3}$$

Expand \left(bc^{-1}\right)^{3}.

$$a^{6}b^{3}\left(c^{-1}\right)^{3}$$

To raise a power to another power, multiply the exponents. Multiply -1 and 3 to get -3.

$$a^{6}b^{3}c^{-3}$$

Expand

$$\left(\frac{b}{c}\right)^{3}a^{6}$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply -2 and -3 to get 6.

$$a^{6}\left(bc^{-1}\right)^{3}$$

Expand \left(bc^{-1}\right)^{3}.

$$a^{6}b^{3}\left(c^{-1}\right)^{3}$$

To raise a power to another power, multiply the exponents. Multiply -1 and 3 to get -3.

$$a^{6}b^{3}c^{-3}$$