Question

Why to the power of -5 times Y to the power of -2 times Y to the -6 power equals what?

Answer 1

To simplify the expression \((-5) \times Y^{-2} \times Y^{-6}\), we can follow these steps:

1. Combine the powers of \(Y\):
\[
Y^{-2} \times Y^{-6} = Y^{-2 + (-6)} = Y^{-2 - 6} = Y^{-8}
\]

2. Multiply by \(-5\):
\[
-5 \times Y^{-8}
\]

So, the final expression is:
\[
-5Y^{-8}
\]

Alternatively, if you want to express it without negative exponents, you can write:
\[
-\frac{5}{Y^8}
\]

Thus, \((-5) \times Y^{-2} \times Y^{-6} = -5Y^{-8} = -\frac{5}{Y^8}\).