9. Sam is building a new house. He needs wood spacers that are each of a foot long. How many spacers can he cut from a
six foot board?

6?

Step-by-step explanation:

1/x²y⁵

x¯²y¯⁵

Step-by-step explanation:

y¯⁸y³x⁰x¯²

The above expression can be simplified as follow:

Recall

m^a × m^b = m^(a+b)

m⁰ = 1

Therefore,

y¯⁸y³x⁰x¯² = y^(–8 + 3) × 1 × x¯²

y¯⁸y³x⁰x¯² = y¯⁵ x¯² = x¯²y¯⁵

y¯⁸y³x⁰x¯² = x¯²y¯⁵

Recall:

m¯ⁿ = 1/mⁿ

Therefore,

y¯⁵ x¯² = 1/x²y⁵

From the above illustration, we see that

y¯⁸y³x⁰x¯² is equivalent to 1/x²y⁵

y¯⁸y³x⁰x¯² is equivalent to x¯²y¯⁵