Simplify (h^7k^3)^0

${(h^{7} k^{3})}^{0}$

Step 1

Apply the product rule to $h^{7} k^{3}$ .

${(h^{7})}^{0} {(k^{3})}^{0}$

Step 2

Multiply the exponents in ${(h^{7})}^{0}$ .

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

$h^{7 \cdot 0} {(k^{3})}^{0}$

Multiply $7$ by $0$ .

$h^{0} {(k^{3})}^{0}$

Step 3

Anything raised to $0$ is $1$ .

$1 {(k^{3})}^{0}$

Step 4

Multiply ${(k^{3})}^{0}$ by $1$ .

${(k^{3})}^{0}$

Step 5

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

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

$k^{3 \cdot 0}$

Multiply $3$ by $0$ .

$k^{0}$

Step 6

Anything raised to $0$ is $1$ .

$1$