Solve (-7a^5b^3c)^2

$$( - 7 a ^ { 5 } b ^ { 3 } c ) ^ { 2 }$$

Evaluate

$$49c^{2}b^{6}a^{10}$$

Steps for Raising Product to a Power

Use the rules of exponents to simplify the expression.

$$\left(-7a^{5}b^{3}c^{1}\right)^{2}$$

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

$$\left(-7\right)^{2}\left(a^{5}\right)^{2}\left(b^{3}\right)^{2}\left(c^{1}\right)^{2}$$

Raise -7 to the power 2.

$$49\left(a^{5}\right)^{2}\left(b^{3}\right)^{2}\left(c^{1}\right)^{2}$$

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

$$49a^{5\times 2}b^{3\times 2}c^{2}$$

Multiply 5 times 2.

$$49a^{10}b^{3\times 2}c^{2}$$

Multiply 3 times 2.

$$49a^{10}b^{6}c^{2}$$

Expand

$$49c^{2}b^{6}a^{10}$$

Steps for Raising Product to a Power

Use the rules of exponents to simplify the expression.

$$\left(-7a^{5}b^{3}c^{1}\right)^{2}$$

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

$$\left(-7\right)^{2}\left(a^{5}\right)^{2}\left(b^{3}\right)^{2}\left(c^{1}\right)^{2}$$

Raise -7 to the power 2.

$$49\left(a^{5}\right)^{2}\left(b^{3}\right)^{2}\left(c^{1}\right)^{2}$$

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

$$49a^{5\times 2}b^{3\times 2}c^{2}$$

Multiply 5 times 2.

$$49a^{10}b^{3\times 2}c^{2}$$

Multiply 3 times 2.

$$49a^{10}b^{6}c^{2}$$