Question

Help! im doing a gooru question but i dont know how to do it

Answer 1

Answer:

$4a^{10}$

Step-by-step explanation:

$\textsf{Given expression}:$

$(a^2)^5 \cdot 4^3 \cdot 4^{-2}$

$\textsf{Apply radical rule} \quad a^b \cdot a^c=a^{b+c}:$

$\implies (a^2)^5 \cdot 4^{3+(-2)}$

$\implies (a^2)^5 \cdot 4^1$

$\implies (a^2)^5 \cdot 4$

$\textsf{Apply radical rule} \quad (a^b)^c=a^{bc}:$

$\implies a^{2 \cdot 5} \cdot 4$

$\implies a^{10} \cdot 4$

$\textsf{Final solution}:$

$\implies 4a^{10}$