Solve 12(-2a)^2div6ab^2*ab

$$12 ( - 2 a ) ^ { 2 } \div 6 a b ^ { 2 } \times a b$$

Evaluate

$$8b^{3}a^{4}$$

Solution Steps

Multiply a and a to get a^{2}.

$$\frac{12\left(-2a\right)^{2}}{6}a^{2}b^{2}b$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$\frac{12\left(-2a\right)^{2}}{6}a^{2}b^{3}$$

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

$$\frac{12\left(-2\right)^{2}a^{2}}{6}a^{2}b^{3}$$

Calculate -2 to the power of 2 and get 4.

$$\frac{12\times 4a^{2}}{6}a^{2}b^{3}$$

Multiply 12 and 4 to get 48.

$$\frac{48a^{2}}{6}a^{2}b^{3}$$

Divide 48a^{2} by 6 to get 8a^{2}.

$$8a^{2}a^{2}b^{3}$$

To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.

$$8a^{4}b^{3}$$

Expand

$$8b^{3}a^{4}$$

Solution Steps

Multiply a and a to get a^{2}.

$$\frac{12\left(-2a\right)^{2}}{6}a^{2}b^{2}b$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$\frac{12\left(-2a\right)^{2}}{6}a^{2}b^{3}$$

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

$$\frac{12\left(-2\right)^{2}a^{2}}{6}a^{2}b^{3}$$

Calculate -2 to the power of 2 and get 4.

$$\frac{12\times 4a^{2}}{6}a^{2}b^{3}$$

Multiply 12 and 4 to get 48.

$$\frac{48a^{2}}{6}a^{2}b^{3}$$

Divide 48a^{2} by 6 to get 8a^{2}.

$$8a^{2}a^{2}b^{3}$$

To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.

$$8a^{4}b^{3}$$