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16 votes
Simplify the expression below.

10^3 • 10^7

A. 10^4

B. 10^21

C. 10^12

D. 10^10

2 Answers

7 votes

Answer:


\large\boxed{\boxed{\underline{\underline{\maltese{\pink{\pmb{\sf{\: ANSWER : \: \: \: \: 10^(10) }}}}}}}}

Explanation:

The given expression, 10³ • 10⁷ has the same base but different exponential values. We know that,


  • \large\sf \: a^(x) * a^(y) = a^(x + y)

So,


\large{\mathfrak{10^(3) * 10^(7) }}

=
\large{\mathfrak{10^(3 + 7) }}

=
\huge{\boxed{\mathfrak{10^(10) }}} (3rd option)

_____

Hope it helps!


\mathfrak{Lucazz}

User Flappix
by
8.8k points
8 votes

Answer:

D. 10^10

Explanation:

Multiplying numbers with exponents rule :
a^b*a^c=a^b^+^c

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


10^3 * 10^7 =10^3^+^7=10^1^0

Keep in mind that this only works when the bases are the same.

User Solopiu
by
8.3k points

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