Simplify (x^n)(x^5)^3

$(x^{n}) {(x^{5})}^{3}$

Step 1

Multiply the exponents in ${(x^{5})}^{3}$ .

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

$x^{n} x^{5 \cdot 3}$

Multiply $5$ by $3$ .

$x^{n} x^{15}$

Step 2

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

$x^{n + 15}$