Evaluate (x^22)(x^7)^3

$(x^{22}) {(x^{7})}^{3}$

Multiply the exponents in ${(x^{7})}^{3}$ .

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

$x^{22} x^{7 \cdot 3}$

Multiply $7$ by $3$ .

$x^{22} x^{21}$

Multiply $x^{22}$ by $x^{21}$ by adding the exponents.

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$x^{22 + 21}$

Add $22$ and $21$ .

$x^{43}$