# How do I solve #0.001 = "10,000,000"/y#?

##### 2 Answers

Apr 11, 2017

#### Explanation:

Since y is at the bottom of the fraction, it can switch place with the 0.001.

Apr 11, 2017

Convert the numbers to powers of 10, and use the exponent laws:

#### Explanation:

Let's rewrite this question using powers of 10:

#0.001 = "10,000,000"/y#

#10^"-3"=(10^7)/y#

When we solve this for

#y=(10^7)/10^"-3"#

The exponent rules tell us that

#y=(10^7)/10^"-3"=10^(7-("-3"))#

#color(white)(y=(10^7)/10^"-3")=10^(7+3)#

#color(white)(y=(10^7)/10^"-3")=10^10" "="10,000,000,000"#