Question

can anyone help me

Answer 1

Mkay, im gonna explain how to do it

Answer 2

3^4
____
3^2

When you have an exponent you take that number and multiply the leading number by itself that many times
So,

3*3*3*3
_______
3*3

You then cross out how many there are at the bottom from how many there are at the top
leaving you with,

3*3

and as we should know, 3*3=
9

Answer 3

well you need to figure out the exponents first

Answer 4

and 3 to the second power is 9 right

Answer 5

and 3 to the fourth power is 81

Answer 6

so you have
\[\frac{ 81 }{ 9 }\]

Answer 7

and when you simplify that what do you get

Answer 8

you would divide 81 by 9 and you would get 9 so you answer would be B. 9

Answer 9

So when you have an exponent
for example if I had \(\color{yellow}{2}^\color{red}{3}\) then I would multiply `2` by itself `3` times because 3 is the exponent meaning that we have to multiply the other number by itself however much times the exponent says, if that makes sense.
So in this case we have \(\frac{3^4}{3^2}\) which is basically \(3^4 \div 3^2\)
\(\frac{3^4}{3^2}\) equals \(\frac{3 \times 3 \times 3 \times 3}{3 \times 3}\) because the exponent it `4` so you would have to multiply `3` by itself 4 times (numerator)
and the same rule for the denominator, the exponent is 2 so you would have to multiply `3` by itself twice.
So basically
\(\LARGE\frac{3^4}{3^2}=\frac{3 \times 3 \times 3 \times 3}{3 \times 3}=\frac??=?\)
or \(3^4÷3^2=?\)

@zissette