Solve (-10x^6)^2*x^2

$$( - 10 x ^ { 6 } ) ^ { 2 } \cdot x ^ { 2 }$$

Evaluate

$$100x^{14}$$

Steps for the Product of Two Exponentials

Use the rules of exponents to simplify the expression.

$$\left(-10x^{6}\right)^{2}\left(x^{1}\right)^{2}$$

To raise the product of two or more numbers to a power, raise each number to the power and take their product.

$$\left(-10\right)^{2}\left(x^{6}\right)^{2}\times 1^{2}\left(x^{1}\right)^{2}$$

Use the Commutative Property of Multiplication.

$$\left(-10\right)^{2}\times 1^{2}\left(x^{6}\right)^{2}\left(x^{1}\right)^{2}$$

To raise a power to another power, multiply the exponents.

$$\left(-10\right)^{2}\times 1^{2}x^{6\times 2}x^{2}$$

Multiply 6 times 2.

$$\left(-10\right)^{2}\times 1^{2}x^{12}x^{2}$$

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

$$\left(-10\right)^{2}\times 1^{2}x^{12+2}$$

Add the exponents 12 and 2.

$$\left(-10\right)^{2}\times 1^{2}x^{14}$$

Raise -10 to the power 2.

$$100\times 1^{2}x^{14}$$

Expand

$$100x^{14}$$

Steps for the Product of Two Exponentials

Use the rules of exponents to simplify the expression.

$$\left(-10x^{6}\right)^{2}\left(x^{1}\right)^{2}$$

To raise the product of two or more numbers to a power, raise each number to the power and take their product.

$$\left(-10\right)^{2}\left(x^{6}\right)^{2}\times 1^{2}\left(x^{1}\right)^{2}$$

Use the Commutative Property of Multiplication.

$$\left(-10\right)^{2}\times 1^{2}\left(x^{6}\right)^{2}\left(x^{1}\right)^{2}$$

To raise a power to another power, multiply the exponents.

$$\left(-10\right)^{2}\times 1^{2}x^{6\times 2}x^{2}$$

Multiply 6 times 2.

$$\left(-10\right)^{2}\times 1^{2}x^{12}x^{2}$$

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

$$\left(-10\right)^{2}\times 1^{2}x^{12+2}$$

Add the exponents 12 and 2.

$$\left(-10\right)^{2}\times 1^{2}x^{14}$$

Raise -10 to the power 2.

$$100\times 1^{2}x^{14}$$