Question

Select the equivalent expression x⁷y³/xy‐4

Answer 1

Hello!

Recall the Properties of Exponents:

`\bold{\displaystyle(a^m)/(a^n) =a^(m-n)}`

Let's use it to simplify:

`\bold{\displaystyle(x^7y^3)/(xy^(-4))}`

x = x¹

`\bold{\displaystyle(x^6y^3)/(y^(-4))}`

`\bold{\displaystyle(x^7y^3)/(y^(-4))}`

Subtract:

`\bold{x^6y^(3-(-4))}`

Which is the same as

`\bold{x^6y^(3+4)}`

Final Answer:

`\huge\boxed{\mathfrak{Answer:{\boxed{\star{\boxed{\bold{x^6y^7}}}}}}}`

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

`\boxed{An~emotional~teen~willing~to~help~you}`

Answer 2

Explanation:

In exponent division, if bases are same, then subtract the powers.

`(x^(7)y^(3))/(xy^(-4)) = x^(7-1)*y^(3-(-4))\\\\\\=x^(6)*y^(3+4)\\\\=x^(6)y^(7)`