Question

Help.

I don't know how to- ;c

Answer 1

Which part do you have to simpilfy?

Answer 2

@snowflake0531 - @supie - ?

Answer 3

Well, I am not sure which part I am supposed to simplify.

Answer 4

You see, I was never taught how to simplify these and I have already contacted my teacher and she says I should know. So I'm left dumbfounded.

Answer 5

Simplify all this? Is this one equation, or no?

Answer 6

I mean expression, not equation. ._.

Answer 7

These are multiple expressions.
I believe each and everyone is supposed to be simplified.

Answer 8

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Astrid1
These are multiple expressions.
I believe each and everyone is supposed to be simplified.
\(\color{#0cbb34}{\text{End of Quote}}\)
Ah okay. That makes sense.

Answer 9

let supie do it, he knows his stuff xd

Answer 10

Is 3 x 10^3 times 4 x 10^5 simplified supposed to be..

\[12~ times ~10^8\]

Answer 11

Do you want me to walk you through each one?

Answer 12

Have you learned the properties of exponents yet?

Answer 13

I- Idr or idk. I might've. IDKK lc

Answer 14

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Astrid1
Is 3 x 10^3 times 4 x 10^5 simplified supposed to be..

\[12~ times ~10^8\]
\(\color{#0cbb34}{\text{End of Quote}}\)

You're on the right track

Answer 15

The exponent rules

\( (a^b)^c = a^{bc}\)

\( \dfrac{x^y}{x^z} = x^{y-z}\)

\( a^b \times a^c = a^{b+c}\)

Answer 16

Oh yah, I remember those.

Answer 17

There one or two more exponent properties but these are the only ones you need to solve the remaining questions on your worksheet

Answer 18

\[3*10^{3}*4*10^{5}\]
\[\frac{ 3^{4} }{ 3}\]
\[(4^{2})^{3}\]
\[\frac{ 7^{10} }{ 7^{6} }\]
\[\frac{ 8*10^{6} }{ 2*10^{3} }\]
\[5^{3}*5\]

That was a lot to right. ._. So, those are the expressions.

Answer 19

Let's take a look at your second expression that you have to simplify.

\(\dfrac{7^{10}}{7^6} =\)


You need to apply this rule:
\(\Large \dfrac{a^b}{a^c} = a^{(b-c)}\)

Answer 20

Do I divide/ or multiply or add both a's together?

Answer 21

The 'a' just stays the same

You only subtract the exponents

Answer 22

So it's \[7^4\]

Answer 23

Yes

Answer 24

For your third expression, keep in mind that \( 3 = 3^1\)

How would you simplify
\(\dfrac{3^4}{3^1} = ?\)

Answer 25

3^3?

Answer 26

Yes. Next one now

\( \dfrac{8 \times 10^6}{2 \times 10^3} = ?\)

Answer 27

I know it would be to the power of 3, but I am stuck because of the 8 and 2.

Answer 28

Just divide those numbers like normal

Answer 29

\[4^3?\]

Answer 30

It won't have an exponent. You can think of it like this

\( \dfrac{8 \times 10^6}{2 \times 10^3} = ?\)

\( \dfrac{8 \times 10^6}{2 \times 10^3} = \dfrac{8}{2} \times \dfrac{10^6}{10^3} = ?\)

Answer 31

I- Idk.

Answer 32

What is \(\dfrac{8}{2} = ?\)

Answer 33

4.

Answer 34

We have now:

\( \dfrac{8 \times 10^6}{2 \times 10^3} = 4 \times \dfrac{10^6}{10^3}\)

What is \( \dfrac{10^6}{10^3} = ?\)

Answer 35

10^3?

Answer 36

Yes. Now put it all together.

\( \dfrac{8 \times 10^6}{2 \times 10^3} = 4 \times \dfrac{10^6}{10^3} = \boxed{4\times 10^3}\)

Answer 37

Oh~~~ That makes some sense now.

Answer 38

Good. Next expression now.

\( (4^2)^3\)

Use the following property:
\(\Large (a^b)^c = a^{bc}\)

You just have to multiply the exponents

Answer 39

So it is \[4^6?\]

Answer 40

Yes. Now your last expression.

\( 5^3 \times 5^5\)

Use the following property:
\(\Large a^b \times a^c = a^{b+c}\)

Just add the exponents

Answer 41

\[5^8?\]

Answer 42

That is correct!

Answer 43

Yay, Thanks so much Tranq.

Answer 44

You're welcome, Astrid!

Answer 45

c: