Question

Write each equatiom as a single power of 10​

Answer 1

10²

Explanation:

Using the rules of exponents

`a^(m)` ×
`a^(n)` =
`a^((m+n))`

`(a^(m) )/(a^(n) )` =
`a^((m-n))`

Then

`(10^(3).10^(4) )/(10^(5) )`

=
`(10^((3+4)) )/(10^(5) )`

=
`(10^(7) )/(10^(5) )`

=
`10^((7-5))`

= 10²

Answer 2

It is 10²

Explanation:

`\frac{ {10}^(3) . {10}^(4) }{ {10}^(5) } = \frac{ {10}^((3 + 4)) }{ { {10}^(5) }} \\ \\ = \frac{10 {}^(7) }{ {10}^(5) } \\ \\ = {10}^((7 - 5)) \\ = {10}^(2)`