Question

Write the expression using positive exponents. 4º.4-11

Answer 1

We want to calculate the following expression

$4^0\cdot4^{\text{ -11}}$

To do this, we will use the following properties of exponentiation.

We given a non zero number a, we have the following property

$a^b\cdot a^c=a^{b+c}$

In our case, we have a=4, b =0 anc c=-11. So we have

$4^0\cdot4^{\text{ -11}}=4^{0\text{ -11}}=4^{\text{ -11}}$

Now, to write this number with a positive exponent