Question

Anyone know what the answer is???(sorry if it’s unclear)

Answer 1

The laws of exponents I will be using are:

$(x^y)^z = x^{yz}$, and $x^y \cdot x^z = x^{y+z}$.

For the first part, $(15^3)^3 \cdot 15^{-6} = 15^9 \cdot 15^{-6} = 15^3$.

For the second part, $15 \cdot (15^3)^2 \cdot (15^{-5})^2 = 15 \cdot (15^6) \cdot (15^{-10}) = 15^{1+6-10} = 15^{-3} = \frac{1}{15^3}$.