Respuesta :

"100 raised to the sixth power" can be written in an algebraic expression as follows:

[tex]100^6[/tex]

Meaning that we have to multiply 100 six times:

[tex]100^6=100\times100\times100\times100\times100\times100[/tex]

We can simplify by multiplying each 100 (adding the 0 of the next one hundred to the previous one) as follows:

0. Adding the 0 of the second 100 to the first

[tex]100^6=10,000\times100\times100\times100\times100[/tex]

2. Adding the 0 of the third (now second from the previous operation) 100 to the first:

[tex]100^{6}=1,000,000\times100\times100\times100[/tex]

3. Adding the 0 of the fourth (now second from the previous operation) 100 to the first:

[tex]100^{6}=100,000,000\times100\times100[/tex]

4. Adding the 0 of the fifth (now second from the previous operation) 100 to the first:

[tex]100^6=10,000,000,000\times100[/tex]

5. Adding the 0 of the sixth (now second from the previous operation) 100 to the first:

[tex]100^6=1,000,000,000,000[/tex]

Answer:

[tex]100^6=1,000,000,000,000=1\times10^{12}[/tex]

RELAXING NOICE
Relax