How do you simplify (20b^10) /( 10b^20)?

3 Answers
May 27, 2018

2b^-10

Explanation:

You can split the fraction into two:
20/10 and b^10/b^20 And you can work out each separate.

20/10=2

Using the formula
a^b/a^c=a^(b-c) you can work out the second fraction.

b^10/b^20=b^(10-20)=b^-10

Then you can multiply 2 by b^-10 to get 2b^-10

May 27, 2018

2/b^10

Explanation:

(20b^10)/(10b^20)

(2 xx 10 xx b^10)/(1 xx 10 xx b^20)

(2 xx cancel10 xx b^10)/(1 xx cancel10 xx b^20)

(2 xx 1 xx b^10)/(1 xx 1 xx b^20)

(2b^10)/b^20

2b^10 div b^20

Recall;

x^a div x^b = x^(a - b)

Hence;

2b^10 div b^20 = 2b^(10 - 20)

2b^-10

But: x^-1 = 1/x

Therefore;

2/b^10

May 27, 2018

2b^-10

Explanation:

(20b^10)/(10b^20)

It might be helpful to rewrite this as two separate fractions.

20/10 * b^10/b^20

2 * b^10/b^20

We can simplify the second fraction if we remember a little rule: n^a/n^b = n^(a-b). In other words, b^10/b^20 will equal b^(10-20) or b^-10.

2*b^-10

2b^-10