randomperson574
Answered

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Simplify the expression below.

10^3 • 10^7

A. 10^4

B. 10^21

C. 10^12

D. 10^10

Sagot :

SenorMathWiz

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.

ᴜᴋɪʏᴏ

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]

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