Question

(M^9)^5•m^-6 fully simplify

Answer 1

To simplify the expression \((M^9)^5 \cdot M^{-6}\), we can follow these steps:

1. **Apply the power of a power rule:** When raising a power to another power, you multiply the exponents.
\[
(M^9)^5 = M^{9 \cdot 5} = M^{45}
\]

2. **Combine the exponents:** Now we have:
\[
M^{45} \cdot M^{-6}
\]
Applying the rule of exponents that states \(a^m \cdot a^n = a^{m+n}\):
\[
M^{45 + (-6)} = M^{45 - 6} = M^{39}
\]

So, the fully simplified expression is:
\[
M^{39}
\]