Solve (+5/4a^3bc^2)^2

$$( + \frac { 5 } { 4 } a ^ { 3 } b c ^ { 2 } ) ^ { 2 }$$

Evaluate

$$\frac{25b^{2}c^{4}a^{6}}{16}$$

Steps for Raising Product to a Power

Use the rules of exponents to simplify the expression.

$$\left(\frac{5}{4}a^{3}b^{1}c^{2}\right)^{2}$$

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

$$\left(\frac{5}{4}\right)^{2}\left(a^{3}\right)^{2}\left(b^{1}\right)^{2}\left(c^{2}\right)^{2}$$

Raise \frac{5}{4} to the power 2.

$$\frac{25}{16}\left(a^{3}\right)^{2}\left(b^{1}\right)^{2}\left(c^{2}\right)^{2}$$

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

$$\frac{25}{16}a^{3\times 2}b^{2}c^{2\times 2}$$

Multiply 3 times 2.

$$\frac{25}{16}a^{6}b^{2}c^{2\times 2}$$

Multiply 2 times 2.

$$\frac{25}{16}a^{6}b^{2}c^{4}$$

Expand

$$\frac{25b^{2}c^{4}a^{6}}{16}$$

Steps for Raising Product to a Power

Use the rules of exponents to simplify the expression.

$$\left(\frac{5}{4}a^{3}b^{1}c^{2}\right)^{2}$$

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

$$\left(\frac{5}{4}\right)^{2}\left(a^{3}\right)^{2}\left(b^{1}\right)^{2}\left(c^{2}\right)^{2}$$

Raise \frac{5}{4} to the power 2.

$$\frac{25}{16}\left(a^{3}\right)^{2}\left(b^{1}\right)^{2}\left(c^{2}\right)^{2}$$

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

$$\frac{25}{16}a^{3\times 2}b^{2}c^{2\times 2}$$

Multiply 3 times 2.

$$\frac{25}{16}a^{6}b^{2}c^{2\times 2}$$

Multiply 2 times 2.

$$\frac{25}{16}a^{6}b^{2}c^{4}$$