Question

2^11
_
2^4
in exponential form

Answer 1

x^17
_
x^-5

Answer 2

To express \(\frac{2^{11}}{2^{4}}\) in exponential form, you can use the property of exponents that states \(\frac{a^m}{a^n} = a^{m-n}\).

Applying this property:

\[
\frac{2^{11}}{2^{4}} = 2^{11-4} = 2^{7}
\]

So, the expression in exponential form is \(2^{7}\).

Answer 3

To simplify \(\frac{x^{17}}{x^{-5}}\) in exponential form, you can use the property of exponents that states \(\frac{a^m}{a^n} = a^{m-n}\).

Applying this property:

\[
\frac{x^{17}}{x^{-5}} = x^{17 - (-5)} = x^{17 + 5} = x^{22}
\]

So, the expression in exponential form is \(x^{22}\).