check my answer please!

skeeter

MHF Helper
Jun 2008
16,217
6,765
North Texas
You check it ...

what is the value of $2^2$?

... of $2^3$?

multiply the the two values ... is the product the same as your result?
 
May 2009
612
334
2^2 x 2^3
= 2^2+3
= 2^5
= 32
I know you don't mean this, but what I highlighted looks like \(\displaystyle 2^{2}+3\). You obviously mean \(\displaystyle 2^{2+3}\). To indicate that without LaTeX, use grouping symbols:
2^(2+3)
 

HallsofIvy

MHF Helper
Apr 2005
20,249
7,909
And, of course, 2^2= 4 while 2^3= 8 so (2^2)(2^3)= (4)(8)= 32. More generally, yes, (a^m)(a^n)= a^(m+ n). That's one of the "laws of exponents". The other is (a^m)^n= a^(mn).
 
Jun 2016
21
4
india
please write your question using latex or using parenthesis for better understanding.
(2^2)*(2^3)
here two exponents with same base are multiplied and when the base is same,we add the powers.
So (2^2)*(2^3)=2^(2+3)=2^5=32.
So your answer is correct.
 
Sep 2016
84
19
India
Use product rule of exponent,
$a^n×a^m=a^{n+m}$
Here, $2^2×2^3= 2^{2+3}$
$2^5=32$