Question

Can anyone help me with “Using the Rules of Exponents? If so, please show me the steps. I have two equations. Thank you.

27 ^-2/3÷27 ^2-1/3

Here is the second equation:

(a ½b) ½ (ab ½)

Answer 1

Rule for division:

\[\frac{x^n}{x^m} = x^{n-m}\]

Answer 2

Hi WH. Can you show me the steps?

Answer 3

yeah. take the exponent from your numerator. subtract the exponent from the denominator. that's the exponent of the result.

\[\frac{x^4}{x^1} = x^{4-1} = x^3\]

Answer 4

it's pretty easy to see for integer exponents why this is true:

\[\frac{x^4}{x^1} = \frac{x*x*x*x}{x} = \frac{\cancel{x}*x*x*x}{\cancel{x}} = x*x*x = x^3\]

Answer 5

Is this for equation (a ½b) ½ (ab ½)? If so why are you using z?

Answer 6

WH are you there?

Answer 7

I'm showing the pattern of how to do these problems. you'll have to apply the pattern to your problem.

Answer 8

\[(a\times \frac12 b)\times \frac12 \times (ab\cdot \frac12)\]???

Answer 9

are the 1/2 s powers?...or...

Answer 10

They are exponents.

Answer 11

like this?
\[\large (a^{1/2}b)\times (ab^{1/2})\]?

Answer 12

It's a little confusing since you don't have a carrot "^" indicating whether its an exponent or a multiplier.

Answer 13

Yes, and there is a ^1/2 in the center of the two (a ½b) ½ (ab ½).

Answer 14

I wrote it in word first using the superscript! For some reason it did not show up in this format, I will have to remember that.

Answer 15

Oh okay. \[\large (a^{1/2}b)^{1/2}\times (ab^{1/2})\]

Answer 16

Yes, can you show me the steps?

Answer 17

Yeah, it'd be wise. The person helping you will get confused otherwise, haha.

Answer 18

Take the first group, \(\large( a^{1/2}b)^{1/2}\)

multiply in the 1/2 power to both of these variables, what do you get?

Answer 19

a^1/2 b^1/2

Answer 20

Nope.
\[\large (a^{1/2 \cdot 1/2})(b^{1\cdot 1/2}) =?\]

Answer 21

1

Answer 22

No.

Answer 23

ab

Answer 24

What do the exponents equal?

Answer 25

TH

Answer 26

The number or variable exponentially.

Answer 27

Both....

What is \(\large \frac{1}{2} \cdot \frac{1}{2} = ?\)

Answer 28

1/2

Answer 29

Two halve = 1

Answer 30

not adding, multiplying! 1/2 of 1/2 is...

Answer 31

WH if I do not know the answer to this questions which is why I asked for the steps. I am new to algebra.

Answer 32

the center dot is a sign for multiplication. do you know how to multiply fractions?

Answer 33

I have learned that multiplying negative exponents is different since we sometimes us the reciprocal which confuses me.

Answer 34

I know that th

Answer 35

There is no negative in my second question but there is in the first one so I asked for someone to walk me through the steps.

Answer 36

that's fine. but what is 1/2 * 1/2?

Answer 37

1

Answer 38

no. 1/2 + 1/2 = 1. what is 1/2 of 1/2?

Answer 39

2/2

Answer 40

oh dear... if you have 1 of something, and you divide it to two equal pieces, each piece is how much?

Answer 41

each is 1/2

Answer 42

okay, and if you divide each of those pieces into two equal pieces, how much are they?

Answer 43

1/3

Answer 44

so 1 thing divided into 4 equal pieces makes the pieces be 1/3 each?

Answer 45

no that is taking 1 piece and dividing it into 3 equal parts.each piece would then be 1/3 .

Answer 46

what is 1/2? as a decimal?

Answer 47

.5

Answer 48

okay. what is that, divided by 2?