Solve (a^-1b^3c^-5)^-5

$$( a ^ { - 1 } b ^ { 3 } c ^ { - 5 } ) ^ { - 5 }$$

Evaluate

$$\frac{a^{5}c^{25}}{b^{15}}$$

Steps for Raising Product to a Power

Use the rules of exponents to simplify the expression.

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

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

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

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

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

Multiply -1 times -5.

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

Multiply 3 times -5.

$$a^{5}\times \frac{1}{b^{15}}c^{-5\left(-5\right)}$$

Multiply -5 times -5.

$$a^{5}\times \frac{1}{b^{15}}c^{25}$$

Expand

$$\frac{a^{5}c^{25}}{b^{15}}$$

Steps for Raising Product to a Power

Use the rules of exponents to simplify the expression.

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

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

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

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

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

Multiply -1 times -5.

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

Multiply 3 times -5.

$$a^{5}\times \frac{1}{b^{15}}c^{-5\left(-5\right)}$$

Multiply -5 times -5.

$$a^{5}\times \frac{1}{b^{15}}c^{25}$$