Solve (-11a^2b^7z)^2

$$( - 11 a ^ { 2 } b ^ { 7 } z ) ^ { 2 }$$

Evaluate

$$121z^{2}a^{4}b^{14}$$

Steps for Raising Product to a Power

Use the rules of exponents to simplify the expression.

$$\left(-11a^{2}b^{7}z^{1}\right)^{2}$$

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

$$\left(-11\right)^{2}\left(a^{2}\right)^{2}\left(b^{7}\right)^{2}\left(z^{1}\right)^{2}$$

Raise -11 to the power 2.

$$121\left(a^{2}\right)^{2}\left(b^{7}\right)^{2}\left(z^{1}\right)^{2}$$

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

$$121a^{2\times 2}b^{7\times 2}z^{2}$$

Multiply 2 times 2.

$$121a^{4}b^{7\times 2}z^{2}$$

Multiply 7 times 2.

$$121a^{4}b^{14}z^{2}$$

Expand

$$121z^{2}a^{4}b^{14}$$

Steps for Raising Product to a Power

Use the rules of exponents to simplify the expression.

$$\left(-11a^{2}b^{7}z^{1}\right)^{2}$$

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

$$\left(-11\right)^{2}\left(a^{2}\right)^{2}\left(b^{7}\right)^{2}\left(z^{1}\right)^{2}$$

Raise -11 to the power 2.

$$121\left(a^{2}\right)^{2}\left(b^{7}\right)^{2}\left(z^{1}\right)^{2}$$

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

$$121a^{2\times 2}b^{7\times 2}z^{2}$$

Multiply 2 times 2.

$$121a^{4}b^{7\times 2}z^{2}$$

Multiply 7 times 2.

$$121a^{4}b^{14}z^{2}$$