esmeraldavasqupdqg5b esmeraldavasqupdqg5b
  • 23-11-2018
  • Mathematics
contestada

How do I find the value of 16 to the -3/2 power?

How do I find the value of 16 to the 32 power class=

Respuesta :

CharlieBrown2002
CharlieBrown2002 CharlieBrown2002
  • 23-11-2018

Hello!

Explanation:

First, used exponent rules.

[tex]a^-^b=\frac{1}{a^b}[/tex]

[tex]\frac{1}{16^3^/^2}=64[/tex]

Then factor by the numbers.

[tex]4^2=16=4^2[/tex]

[tex](4^2)\frac{3}{2}[/tex]

[tex]4^3[/tex]

Refine.

[tex]4^3=4*4*4=64[/tex]

[tex]=\frac{1}{64}[/tex]

Answer: → [tex]\frac{1}{64}[/tex]

Hope this helps!

Thanks!

-Charlie

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