Math Is Fun Forum

mathxyz

Member

From: Brooklyn, NY

Registered: 2024-02-24

Posts: 1,053

Simplify Expression...4

Simplify the given expression. Express the answer so that all exponents are positive. Whenever an exponent is 0 or negative, assume that the base is not 0.

[4x^(-2) (yz)^(-1)]/[8x^4 y]

(4/x^2) (1/yz) ÷ 8x^4 y

(4/x^2) • 1/(8x^4 y)

4/(8x^6 y^2 z)

1/(2x^6 y^2 z)

You say?

Bob

Administrator

Registered: 2010-06-20

Posts: 10,627

Re: Simplify Expression...4

(4/x^2) (1/yz) ÷ 8x^4 y

(4/x^2) • 1/(8x^4 y)

You have lost the (1/xy) term here.

Bob

---

Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

mathxyz

Member

From: Brooklyn, NY

Registered: 2024-02-24

Posts: 1,053

Re: Simplify Expression...4

(4/x^2) (1/yz) ÷ 8x^4 y

(4/x^2) • 1/(8x^4 y)

You have lost the (1/xy) term here.

Bob

The 1/xy term or 1/yz term?

Let me see.

[4x^(-2) (yz)^(-1)]/[8x^4 y]

(4/x^2) (1/yz) ÷ 8x^4 y

4/(x^2 y z) ÷ 8x^4 y

4/(x^2 y z) • 1/(8x^4 y)

4/(8x^6 y^2 z)

1/(2x^6 y^2 z)

Yes?

Bob

Administrator

Registered: 2010-06-20

Posts: 10,627

Re: Simplify Expression...4

Yes!!!

Bob

---

Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

mathxyz

Member

From: Brooklyn, NY

Registered: 2024-02-24

Posts: 1,053

Re: Simplify Expression...4

Yes!!!

Bob

Beautiful. More Sullivan textbook questions coming up in the next 60 minutes.