janiayagivens janiayagivens
  • 21-01-2022
  • Mathematics
contestada

Which of the following is equivalent to 2^3.2^-5?

a. -1/4
b.1/4
C. 2
d. -4

Respuesta :

wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 21-01-2022

Answer:

1/4

Step-by-step explanation:

2^3 * 2 ^ -5

When we multiply  with the same base, we add the exponents

2 ^ (3+-5)

2 ^ (-2)

a^-b = 1/a^b

1/2^2

1/4

Answer Link
38571218
38571218 38571218
  • 21-01-2022

Answer:

[tex]\frac{1}{4} [/tex]

Step-by-step explanation:

[tex]2^{3} [/tex] × [tex]2^{-5} [/tex]

To multiply powers of the same base, add their exponents. Add 3 and −5 to get −2.

[tex]2^{-2} [/tex]

Calculate 2 to the power of −2 and get [tex]\frac{1}{4} [/tex].

[tex]\frac{1}{4} [/tex]

Hope it helps and enjoy the rest of your day! =)

Answer Link

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