Solve (2a)^3*(-a)^4diva^2=

$$( 2 a ) ^ { 3 } \cdot ( - a ) ^ { 4 } \div a ^ { 2 } =$$

Evaluate

$$8a^{5}$$

Solution Steps

Expand \left(2a\right)^{3}.

$$\frac{2^{3}a^{3}\left(-a\right)^{4}}{a^{2}}$$

Calculate 2 to the power of 3 and get 8.

$$\frac{8a^{3}\left(-a\right)^{4}}{a^{2}}$$

Cancel out a^{2} in both numerator and denominator.

$$8a\left(-a\right)^{4}$$

Expand \left(-a\right)^{4}.

$$8a\left(-1\right)^{4}a^{4}$$

Calculate -1 to the power of 4 and get 1.

$$8a\times 1a^{4}$$

Multiply 8 and 1 to get 8.

$$8aa^{4}$$

To multiply powers of the same base, add their exponents. Add 1 and 4 to get 5.

$$8a^{5}$$

Expand

$$8a^{5}$$

Solution Steps

Expand \left(2a\right)^{3}.

$$\frac{2^{3}a^{3}\left(-a\right)^{4}}{a^{2}}$$

Calculate 2 to the power of 3 and get 8.

$$\frac{8a^{3}\left(-a\right)^{4}}{a^{2}}$$

Cancel out a^{2} in both numerator and denominator.

$$8a\left(-a\right)^{4}$$

Expand \left(-a\right)^{4}.

$$8a\left(-1\right)^{4}a^{4}$$

Calculate -1 to the power of 4 and get 1.

$$8a\times 1a^{4}$$

Multiply 8 and 1 to get 8.

$$8aa^{4}$$

To multiply powers of the same base, add their exponents. Add 1 and 4 to get 5.

$$8a^{5}$$