Question

Six to the 14th power divided by six to the second power equals

Answer 1

Answer:

Six to the 12th power

Step-by-step explanation:

Here we need to understand the problem first.

Six to the power 14th is divided by Six to the 2nd power.

for solving such problems you need to understand the concept of indices.

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

Here for applying this formula you need to know that the values of the base must be same. here the given base is Six for both the numerator and denominator. so as per the formula we need to subtract the power of denominator from the power of numerator.

so the answer will be Six to the power of 12.

Answer 2

Answer:

$6^{12}$

Step-by-step explanation:

The given expression is

$\frac{6^{14}}{6^2}$

Since the bases are dividing, we subtract the exponents to obtain,

$\frac{6^{14}}{6^2}=6^{14-2}$

This simplifies to

$\frac{6^14}{6^2}=6^{12}$

This is the result in the index form

or

$6^{12}=2176782336$