saramackall1 saramackall1
  • 02-11-2021
  • Mathematics
contestada

Describe how (2^3)(2^-4) can be simplified

Describe how 2324 can be simplified class=

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14amavanessa
14amavanessa 14amavanessa
  • 02-11-2021

Answer:

Add the exponents and keep the bases the same. Then find the reciprocal and change the sign of the exponent

Step-by-step explanation:

When multiplying exponents with the same base number, you can add the powers. (If it was dividing, you would subtract the powers). You would then get [tex]2^{-1}[/tex].

  • 2³ = 8,
  • 2² = 4,
  • 2^1 = 2,
  • 2^0 = 1

The pattern is to divide by 2. This means that [tex]2^{-1}[/tex] would be 1 ÷ 2 which is 1/2.

Tip: Any number to the power of -1 means to give its reciprocal.

Hope this helps!

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