Question

Simplify the expression below.

10^3 • 10^7

A. 10^4

B. 10^21

C. 10^12

D. 10^10

Answer 1

`\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}`

Answer 2

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.