Simplify (x^6)^2(y^3)^0

${(x^{6})}^{2} {(y^{3})}^{0}$

Step 1

Multiply the exponents in ${(x^{6})}^{2}$ .

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

$x^{6 \cdot 2} {(y^{3})}^{0}$

Multiply $6$ by $2$ .

$x^{12} {(y^{3})}^{0}$

Step 2

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

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

$x^{12} y^{3 \cdot 0}$

Multiply $3$ by $0$ .

$x^{12} y^{0}$

Step 3

Anything raised to $0$ is $1$ .

$x^{12} \cdot 1$

Step 4

Multiply $x^{12}$ by $1$ .

$x^{12}$