Question

Simplify.n to power of 6 · n to power of 5 ÷ n to power of 4 · n to power of 3 ÷ n to power of 2 · n

Answer 1

The given question is

We will use the order of operations to solve the question

$n^6\ast n^5$

We will add their powers to make the multiplication

$n^6\ast n^5=n^{6+5}=n^{11}$

Now, we will divide n^11 by n^4, to do that we will subtract their powers

$\frac{n^{11}}{n^4}=n^{11-4}=n^7$

Then multiply n^7 by n^3 by adding their powers

$n^7\ast n^3=n^{7+3}=n^{10}$

Then divide it by n^2, to do that subtract their powers

$\frac{n^{10}}{n^2}=n^{10-2}=n^8$

At last, multiply the answer by n

$n^8\ast n=n^{8+1}=n^9$

The answer is n^9