Simplify a^2*a^5+(b^2)^3

$a^{2} \cdot a^{5} + {(b^{2})}^{3}$

Multiply $a^{2}$ by $a^{5}$ by adding the exponents.

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

$a^{2 + 5} + {(b^{2})}^{3}$

Add $2$ and $5$ .

$a^{7} + {(b^{2})}^{3}$

Multiply the exponents in ${(b^{2})}^{3}$ .

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

$a^{7} + b^{2 \cdot 3}$

Multiply $2$ by $3$ .

$a^{7} + b^{6}$