Simplify (c^3)^(1/9)(d^3)^0

${(c^{3})}^{\frac{1}{9}} {(d^{3})}^{0}$

Step 1

Multiply the exponents in ${(c^{3})}^{\frac{1}{9}}$ .

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

$c^{3 (\frac{1}{9})} {(d^{3})}^{0}$

Cancel the common factor of $3$ .

Factor $3$ out of $9$ .

$c^{3 \frac{1}{3 (3)}} {(d^{3})}^{0}$

Cancel the common factor.

$c^{3 \frac{1}{3 \cdot 3}} {(d^{3})}^{0}$

Rewrite the expression.

$c^{\frac{1}{3}} {(d^{3})}^{0}$

Step 2

Multiply the exponents in ${(d^{3})}^{0}$ .

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

$c^{\frac{1}{3}} d^{3 \cdot 0}$

Multiply $3$ by $0$ .

$c^{\frac{1}{3}} d^{0}$

Step 3

Anything raised to $0$ is $1$ .

$c^{\frac{1}{3}} \cdot 1$

Step 4

Multiply $c^{\frac{1}{3}}$ by $1$ .

$c^{\frac{1}{3}}$