Question

Simplify rewrite the expression in the form of 4ⁿ 4¹¹ / 4⁻⁸ =

Answer 1

4¹⁹

Explanation:

We can apply the division law of exponent:

`\displaystyle{(a^m)/(a^n) = a^(m-n)}`

In other words -- when there exist two same bases dividing each other, we subtract the exponents and maintain the same base. By applying this law, we have:

`\displaystyle{(4^(11))/(4^(-8)) = 4^(11 - \left(-8\right))}\\\\\displaystyle{(4^(11))/(4^(-8)) = 4^(11 +8)}\\\\\displaystyle{(4^(11))/(4^(-8)) = 4^(19)}`

Hence, the answer is 4¹⁹