Question

Which law would you use to simplify the expression 3^10/3^4

Answer 1

Answer:

I would use the "quotient rule of exponents"

Step-by-step explanation:

I would use the "quotient rule of exponents" which states that to divide two exponents that have the same base, the result is the same base to an exponent which equals the subtraction of the exponent in the numerator of the original expression minus the exponent that base has in the denominator.

That is:

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

Then in this case the simplified expression would be:

$\frac{3^{10}}{3^4} =3^{10-4}=3^6$