Question

help please!

Answer 1

\[\frac{ 7ab ^{-2} }{ 3w }\]

Answer 2

First, Nina, what's your goal in solving this problem?

Answer 3

simplify

Answer 4

In this type of problem, what would "simplify" mean?

Answer 5

I need and want to know how YOU see this.

Answer 6

simplify expression

Answer 7

see what?

Answer 8

What it means to "simplify" an expression such as the one you've presented here.

Answer 9

to reduce an equation to a simpler form

Answer 10

In other words, Nina, what will the correct result look like, in comparison to the expression you're starting with?

Answer 11

OK, let's start with what you've just said. What part of the expression (7ab^(-2))/(3W) needs simplifying, and why?

Answer 12

that is, which part of the following expression needs simplification, and why?
\[\frac{ 7ab ^{-2} }{ 3w }\]

Answer 13

Hint: don't worry about the 7, the a, the 3 or the w. They're fine as is. What's "wrong" with the remainder of this expression?

Answer 14

the top part 7ab^-2

Answer 15

^-2 exponent turns to a positive so b^2

Answer 16

Just the b^(-2) part.
Sorry to have been so roundabout. My point is that we need to understand what actions to take to simplify an expression that contains a negative exponent.
Perhaps you know already how to re-write the following WITHOUT a negative exponent:
\[b ^{-2}=?\]

Answer 17

yes

Answer 18

Building on what you have already said, where are y ou going to write that \[b ^{2} \]
which you got a moment ago?

Answer 19

Hint: rewrite \[b ^{-2}\] as a fraction.

Answer 20

next to the 7a?

Answer 21

Yes, but for now please just focus on re-writing that \[b ^{-2}.\]

Answer 22

Let me drop another hint: In this problem we need to simplify the given expression by getting rid of negative exponents. That's why I keep asking you how you'd do this re-writing.

Answer 23

i think i got it

Answer 24

the 7a is left at the top write so

Answer 25

Yes, the 7a stays in the numerator. And the 3w stays in the denominator. All you have to do is to rewrite that \[b ^{-2}.\]

Answer 26

\[\frac{ 7a }{ 3b ^{2}w }\]

Answer 27

ok is this right

Answer 28

Yes, that's absolutely perfect. Congrats. You're really showing your stuff now.
What I'd encourage you to do

Answer 29

Thanks ^^

Answer 30

is to go back and re-write the original problem statement to read, "simplify the following expression by eliminating the negative exponent."

Answer 31

\(\bf \cfrac{7ab^{-2}}{3w}\qquad \textit{recall}\quad a^{-n} = \cfrac{1}{a^n}\qquad thus\\ \quad \\
\cfrac{7ab^{-2}}{3w}\implies \cfrac{7a}{3w}\cdot b^{-2}\implies \cfrac{7a}{3w}\cdot \cfrac{1}{b^{2}}\)

Answer 32

I will practice more

Answer 33

but i get it now and it's easy

Answer 34

I'm so glad you see it that way! Good going, Nina. Take care. H. N. Y.

Answer 35

@mathmale can you help me with another problem?