Question

Simplify 9xºy-3 Write your answer using only positive exponents.

Answer 1

we conclude that:

`\:9x^0y^(-3)=(9)/(y^3)`

Explanation:

Given the expression

`9x^0y^(-3)`

Apply exponent rule:
`a^(-b)=(1)/(a^b)`

`\:9x^0y^(-3)=9\cdot \:(1)/(y^3)x^0`

Apply rule:
`a^0=1,\:a\\e \:0`

`=9\cdot \:1\cdot (1)/(y^3)`

Multiply fractions:
`a\cdot (b)/(c)=(a\:\cdot \:b)/(c)`

`=1\cdot (1\cdot \:9)/(y^3)`

Refine

`=(9)/(y^3)`

Thus, we conclude that:

`\:9x^0y^(-3)=(9)/(y^3)`