Question

8 \cdot 10^48⋅10 4 8, dot, 10, start superscript, 4, end superscript is how many times as large as 4\cdot10^{-5}4⋅10 −5 4, dot, 10, start superscript, minus, 5, end superscript?

Answer 1

Answer: 5 is your answer!

Explanation:

Answer 2

`\bold{2\cdot10^9}`

Explanation:

The given expression s are:

`8 \cdot 10^4` and

`4\cdot10^(-5)`

To find:

`8 \cdot 10^4` is how many times as large as
`4\cdot10^(-5)`.

Solution:

Let
`8 \cdot 10^4` is
`x` times as large as
`4\cdot10^(-5)`.

So, we can say that:

`8 \cdot 10^4` =
`4\cdot10^(-5)`
`*`
`x`

OR

`x= (8\cdot 10^4)/(4\cdot 10^(-5))`

Let us have a look at the formula for exponents:

`(x^p)/(x^q) = x^(p-q)`

Here we have:

`x=10\\p=4\ and\\q=-5`

Solving the expression using above formula:

`\Rightarrow x= (8)/(4)\cdot 10^(4-(-5))} = \bold{2\cdot10^9}`

So, Let
`8 \cdot 10^4` is
`\bold{2\cdot10^9}` times as large as
`4\cdot10^(-5)`