Simplify the following. Write your answer using positive exponents only:
(
5
c
−
3
v
5
y
−
8
)
no idea how to parse that.
try writing things like
5c^3 or (5c^-3)/(y^4)
using one line instead of all those lines.
To simplify the expression (5c^(-3)v^5y^(-8)), let's break it down step by step:
Step 1: Simplify the numerator
The numerator is 5c^(-3). Since c^(-3) represents 1/c^3 (negative exponent means reciprocal), the numerator simplifies to 5/c^3.
Step 2: Simplify the denominator
The denominator is v^5y^(-8). Since y^(-8) represents 1/y^8, the denominator becomes v^5/y^8.
Step 3: Combine the numerator and denominator
We have (5/c^3) divided by (v^5/y^8), which is equivalent to (5/c^3) * (y^8/v^5).
Step 4: Simplify further
Now, let's rearrange the expression to have positive exponents only:
(5 * y^8) / (c^3 * v^5)
Therefore, the simplified answer, using positive exponents only, is: (5 * y^8) / (c^3 * v^5).