Simplify (6 to the power of 7 over 6 to the power of 5) in index form

Step-by-step explanation:

We want to simplify:

Since the bases are the same, we use the quotient rule of indices:

We apply this rule to obtain:

We simplify in the exponents to get:

We rewrite as a positive index to get:

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the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

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