Answer:
[tex]5^6 = 125 * 125[/tex]
Step-by-step explanation:
The given expression can be represented as:.5⁶
Required
Find equivalent expression
[tex]5^6[/tex]
Express 6 as 3 + 3
[tex]5^6 = 5^{3+3}[/tex]
Apply the following law of indices
[tex]a^{m+n} = a^m * a^n[/tex]
So, we have:
[tex]5^6 = 5^{3} * 5^{3}[/tex]
Express [tex]5^3[/tex] as 125
[tex]5^6 = 125 * 125[/tex]
Hence, option (b) is equivalent
