Respuesta :
Answer:
D. 10^10
Step-by-step explanation:
Multiplying numbers with exponents rule : [tex]a^b*a^c=a^b^+^c[/tex]
explanation of rule : we simply keep the bases the same and add the exponents.
10^3 • 10^7
keep the base as 10 and add the exponents
[tex]10^3 * 10^7 =10^3^+^7=10^1^0[/tex]
Keep in mind that this only works when the bases are the same.
Answer:
[tex]\large\boxed{\boxed{\underline{\underline{\maltese{\pink{\pmb{\sf{\: ANSWER : \: \: \: \: 10^{10} }}}}}}}}[/tex]
Step-by-step explanation:
The given expression, 10³ • 10⁷ has the same base but different exponential values. We know that,
- [tex]\large\sf \: a^{x} * a^{y} = a^{x + y}[/tex]
So,
[tex]\large{\mathfrak{10^{3} * 10^{7} }}[/tex]
= [tex]\large{\mathfrak{10^{3 + 7} }}[/tex]
= [tex]\huge{\boxed{\mathfrak{10^{10} }}}[/tex] (3rd option)
_____
Hope it helps!
[tex]\mathfrak{Lucazz}[/tex]