Which of the following would be equivalent to 3^2 • 3^5?

3^10/3^3
3^10/3^7
3^1*3^7
3^0

Question

Which of the following would be equivalent to 3^2 • 3^5?

3^10/3^3
3^10/3^7
3^1*3^7
3^0

nnesha · Answer

when we divide same bases we should `subtract` their exponents 
$$\huge\rm \frac{ x^m }{ x^n }=x^{m-n}$$
and when we `multiply` same bases we should `add` ther exponents $$\huge\rm x^m \times x^n=x^{m +n}$$

spring98 · Answer

so would it be the third one?

spring98 · Answer

from the answers?

nnesha · Answer

3rd one is $$\huge\rm 3^1 \times 3^7$$ ???

spring98 · Answer

i know but i need the answer that is eqivelent to 3^2*3^5!

nnesha · Answer

i said when we multiply same bases we should add their exponents 
so 3^2 times 3^5= ???

spring98 · Answer

im not understanding it

nnesha · Answer

here is an example $$\huge\rm 2^\color{ReD}{5} \times 2^\color{blue}{4} = 2^{\color{red}{5} +\color{blue}{4}} =2^9$$

nnesha · Answer

so $$\huge\rm 3^\color{ReD}{2} \times 3^\color{blue}{5} = 3^{???}$$

spring98 · Answer

3^7

nnesha · Answer

yes right!
now look at the options 
which option is equal to 3^7

spring98 · Answer

the third option  right?

nnesha · Answer

here are some examples 
anything to the zero power is just equal to one $$\huge\rm (x)^0= 1~~~~(anything)^0=1$$
and like i said when we divide same bases we should subtract their exponents 
example is $$\huge\rm \frac{ 2^5 }{ 2^3 }=2^{5-3}$$

nnesha · Answer

$$3^1 \times 3^7=?$$would you add those exponents or subtract ?

spring98 · Answer

subtract

nnesha · Answer

$\color{blue}{\text{Originally Posted by}}$ @Nnesha
when we divide same bases we should `subtract` their exponents 
$$\huge\rm \frac{ x^m }{ x^n }=x^{m-n}$$
and when we `multiply` same bases we should `add` ther exponents $$\huge\rm x^m \times x^n=x^{m +n}$$
$\color{blue}{\text{End of Quote}}$
read this

spring98 · Answer

ok we add

nnesha · Answer

right so $$\huge\rm 3^1 \times 3^7= 3^{1+7} $$
is this equal to 3^7 ??

spring98 · Answer

3^8

nnesha · Answer

so that's not equal to 3^7 
that's why 3rs one isn't correct

nnesha · Answer

3rd*

nnesha · Answer

try other options

spring98 · Answer

o it would be the first one because you subtract it and it would equal 3^7 right?

nnesha · Answer

:=) nice!!!

spring98 · Answer

thanks @Nnesha  you helped me alot!!! :)

nnesha · Answer

my pleasure :=)