Solve -5ab^2*5ab^2

$$- 5 a b ^ { 2 } \cdot 5 a b ^ { 2 }$$

Evaluate

$$-25a^{2}b^{4}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$\left(-5\right)^{1}a^{1}b^{2}\times 5^{1}a^{1}b^{2}$$

Use the Commutative Property of Multiplication.

$$\left(-5\right)^{1}\times 5^{1}a^{1}a^{1}b^{2}b^{2}$$

To multiply powers of the same base, add their exponents.

$$\left(-5\right)^{1}\times 5^{1}a^{1+1}b^{2+2}$$

Add the exponents 1 and 1.

$$\left(-5\right)^{1}\times 5^{1}a^{2}b^{2+2}$$

Add the exponents 2 and 2.

$$\left(-5\right)^{1}\times 5^{1}a^{2}b^{4}$$

Multiply -5 times 5.

$$-25a^{2}b^{4}$$

Differentiate w.r.t. a

$$-50ab^{4}$$