Simplify (x^9)^0(x^7)^2

${(x^{9})}^{0} {(x^{7})}^{2}$

Step 1

Multiply the exponents in ${(x^{9})}^{0}$ .

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

$x^{9 \cdot 0} {(x^{7})}^{2}$

Multiply $9$ by $0$ .

$x^{0} {(x^{7})}^{2}$

Step 2

Anything raised to $0$ is $1$ .

$1 {(x^{7})}^{2}$

Step 3

Multiply ${(x^{7})}^{2}$ by $1$ .

${(x^{7})}^{2}$

Step 4

Multiply the exponents in ${(x^{7})}^{2}$ .

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

$x^{7 \cdot 2}$

Multiply $7$ by $2$ .

$x^{14}$