Question

b7
__
b6

Multiply or divide as indicated.

Answer 1

For this case we have the following expression:

$\frac {b ^ 7} {b ^ 6}$

By definition of division of powers of the same base, we have to place the same base and subtract the exponents, that is:

$\frac {a ^ m} {a ^ n} = a ^ {n-m}$

So:

$\frac {b ^ 7} {b ^ 6} = b ^ {7-6} = b ^ 1 = b$

Answer:

b

Answer 2

Answer: $b$

Step-by-step explanation:

 You need to remember a property called "Quotient of powers property". This property states the following:

$\frac{a^m}{a^n}=a^{(m-n)}$

You can observe that the bases of the expression $\frac{b^7}{b^6}$ are equal, then you can apply the property mentioned before.

Therefore, you can make the division indicated in the exercise.

Then you get this result:

$\frac{b^7}{b^6}=b^{(7-6)}=b$