Solve (3pia^-3)^3

$$( 3 \pi a ^ { - 3 } ) ^ { 3 }$$

Evaluate

$$\frac{27\pi ^{3}}{a^{9}}$$

Solution Steps

Expand \left(3\pi a^{-3}\right)^{3}.

$$3^{3}\pi ^{3}\left(a^{-3}\right)^{3}$$

To raise a power to another power, multiply the exponents. Multiply -3 and 3 to get -9.

$$3^{3}\pi ^{3}a^{-9}$$

Calculate 3 to the power of 3 and get 27.

$$27\pi ^{3}a^{-9}$$

Expand

$$\frac{27\pi ^{3}}{a^{9}}$$

Solution Steps

Expand \left(3\pi a^{-3}\right)^{3}.

$$3^{3}\pi ^{3}\left(a^{-3}\right)^{3}$$

To raise a power to another power, multiply the exponents. Multiply -3 and 3 to get -9.

$$3^{3}\pi ^{3}a^{-9}$$

Calculate 3 to the power of 3 and get 27.

$$27\pi ^{3}a^{-9}$$