Simplify (3/(5c^2))^0

${(\frac{3}{5 c^{2}})}^{0}$

Step 1

Use the power rule ${(a b)}^{n} = a^{n} b^{n}$ to distribute the exponent.

Apply the product rule to $\frac{3}{5 c^{2}}$ .

$\frac{3^{0}}{{(5 c^{2})}^{0}}$

Apply the product rule to $5 c^{2}$ .

$\frac{3^{0}}{5^{0} {(c^{2})}^{0}}$

Step 2

Anything raised to $0$ is $1$ .

$\frac{1}{5^{0} {(c^{2})}^{0}}$

Step 3

Simplify the denominator.

Anything raised to $0$ is $1$ .

$\frac{1}{1 {(c^{2})}^{0}}$

Multiply the exponents in ${(c^{2})}^{0}$ .

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$\frac{1}{1 c^{2 \cdot 0}}$

Multiply $2$ by $0$ .

$\frac{1}{1 c^{0}}$

Anything raised to $0$ is $1$ .

$\frac{1}{1 \cdot 1}$

Multiply $1$ by $1$ .

$\frac{1}{1}$

Step 4

Divide $1$ by $1$ .

$1$