Question

12th Grade Math, (Mathematics for Data and Financial Literacy) Evaluate the numerical expression the quantity 5 to the power of five sixths end quantity over the quantity 5 to the power of one sixth end quantity.

square root of 15
square root of 125
cube root of 10
cube root of 25

Answer 1

how you know this rule of powers when you divide the same terms like in your case 5 on different powers

this is the formula

\[\frac{ x^{a} }{ x^{b} } = x^{(a-b)}\]

have you learn about this ?

Answer 2

so to get the correct answer you need use this rule first

Answer 3

There is a lot of formulas like this, what do i do with this?

Answer 4

in ths first step you need calcule

\[\frac{ 5 }{ 6 } - \frac{ 1 }{ 6 } = ?\]

Answer 5

how you know to set it up like that?

Answer 6

6/6?

Answer 7

ok

Answer 8

?

Answer 9

i meant 4/6

Answer 10

yes so is right

Answer 11

ok, so what after that then?

Answer 12

but 4/6 you can simplify it

Answer 13

yeah to 2/3

Answer 14

exactly

Answer 15

so how do we get it to square root?

Answer 16

so will get 5 on power of 2/3

about what i ve said that the denominator of a fraction power is the indice of radical

so in this case how can you rewrite your result ?

Answer 17

3 square root 5?

Answer 18

meant 10

Answer 19

no 5 will be on power of 2 what is equal 5*5 = ?

and the index of radical is 3 what mean cube root

Answer 20

oh so 3 with 25 in the box?

Answer 21

this 3 mean cubroot

and yes 5 squared is 25

Answer 22

from these choices what is right ?

Answer 23

so it is d?

Answer 24

perfect

do you understand it now sure ?

Answer 25

I have a understanding of it anyway

Answer 26

ok cya

Answer 27

thank you.