Solve (5a^2x^4)(3a^3x^2)

$$( 5 a ^ { 2 } x ^ { 4 } ) ( 3 a ^ { 3 } x ^ { 2 } )$$

Evaluate

$$15a^{5}x^{6}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$5^{1}a^{2}x^{4}\times 3^{1}a^{3}x^{2}$$

Use the Commutative Property of Multiplication.

$$5^{1}\times 3^{1}a^{2}a^{3}x^{4}x^{2}$$

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

$$5^{1}\times 3^{1}a^{2+3}x^{4+2}$$

Add the exponents 2 and 3.

$$5^{1}\times 3^{1}a^{5}x^{4+2}$$

Add the exponents 4 and 2.

$$5^{1}\times 3^{1}a^{5}x^{6}$$

Multiply 5 times 3.

$$15a^{5}x^{6}$$

Differentiate w.r.t. x

$$90\left(ax\right)^{5}$$