georgiannaricaur
georgiannaricaur georgiannaricaur
  • 19-08-2020
  • Mathematics
contestada

another math question ! write 16 to the 8th power as a power with a base of 4

Respuesta :

09pqr4sT
09pqr4sT 09pqr4sT
  • 19-08-2020

Answer:

[tex]\Huge \boxed{4^{16} }[/tex]

Step-by-step explanation:

[tex]16^8[/tex]

Rewrite 16 with base 4.

16 is also written as 4².

[tex](4^2)^8[/tex]

We can apply an exponent rule :

[tex](a^b)^c=a^{bc}[/tex]

Multiply the exponents.

[tex]4^{2 \times 8}[/tex]

[tex]4^{16}[/tex]

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