Question

Choose the correct simplification of f to the 9th power times h to the 23rd power all over f to the 3rd power times h to the 17th power.

f12h6

1 over f to the 12th power times h to the 6th power

f6h6

1 over f to the 6th power times h to the 6th power

Answer 1

\[\Large \frac{ f^9 h^{23} }{ f^3 h^{17}}\]

Answer 2

what do i do after that?

Answer 3

Use this rule to simplify it\[\Large \frac{ x^a }{x^b } = x^{a-b}\]

Answer 4

i got x^14-14

Answer 5

How'd you get that?

Answer 6

sorry did it wrong hold on

Answer 7

f6h6

Answer 8

what about this one?
Choose the correct simplification of 3 over x to the power of negative 7.

x to the 7th power over 3

3 over x to the 7th power

3x7

Already simplified.

Answer 9

\[\Large \left( \frac{ 3 }{ x } \right)^{-7}\]

Answer 10

so B?

Answer 11

looks like its already simplified

Answer 12

It isn't, you can't have negative powers in simplified form.

Answer 13

oh so its B?

Answer 14

Well you didn't say this wasn't the problem... \[\Large \left( \frac{ 3 }{ x } \right)^{-7}\] but it sounds more like \[\Large \frac{ 3 }{ x^{-7} }\]

Answer 15

it is \[\frac{ 3 }{ x^-7 }\]

Answer 16

For negative exponents
\[\Large x^{-n} = \frac{ 1 }{ x^n }\] and also \[\Large \frac{ 1 }{ x^{-n} } = x^n\]

Answer 17

its 3x^7

Answer 18

Yep :)

Answer 19

thank you :)

Answer 20

I have one more and then I'm done,
Which expression is equivalent to the area of metal sheet required to make this square-shaped traffic sign?

A square shaped traffic sign is shown with length of one side labeled as x + 1.

x^2 + 2x + 1

x^2 + x + 1

x^2 + 2x

x^2 + 1

Answer 21

I think it's A but I'm not sure

Answer 22

If the side length is x+1, then the area is the (side length)^2, or (x+1)^2.

(x+1)^2 = (x+1)(x+1) =