Answer:
[tex]10^2\cdot 10^4=10^{6}[/tex]
Step-by-step explanation:
Given : Expression [tex]10^2\cdot 10^4[/tex]
To find : Which expression is equivalent to given expression ?
Solution :
Expression [tex]10^2\cdot 10^4[/tex]
When multiplying two powers that have the same base, We add the exponents by product rule exponent,
[tex]x^a\times x^b=x^{a+b}[/tex]
So, [tex]10^2\cdot 10^4=10^{2+4}[/tex]
[tex]10^2\cdot 10^4=10^{6}[/tex]
Therefore, [tex]10^2\cdot 10^4=10^{6}[/tex]
