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1 vote
B7
__
b6

Multiply or divide as indicated.

User Drewmm
by
5.2k points

2 Answers

6 votes

Answer:
b

Explanation:

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


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

You can observe that the bases of the expression
(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:


(b^7)/(b^6)=b^((7-6))=b

User Stelium
by
5.3k points
4 votes

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

User Ticallian
by
4.6k points