ecolifesfsu3953 ecolifesfsu3953
  • 19-01-2021
  • Mathematics
contestada

What expression is equivalent to 5 to the 6th power?PlZZZ HElP

A 6.5 B 125.125 C 25.5.5.5 D 36.6.6.6

Respuesta :

MrRoyal
MrRoyal MrRoyal
  • 19-01-2021

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

Answer Link
102108go
102108go 102108go
  • 25-10-2021

Answer: 125.125

hope this helps :}

Answer Link

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