al5x
al5x al5x
  • 26-05-2022
  • Mathematics
contestada

how do you write 10^3 / 10^7 in standard form for properties of exponents

Respuesta :

genan
genan genan
  • 26-05-2022

Answer:

1 / 10000

Step-by-step explanation:

10^3 / 10^7

apply exponent rule: x^a / x^b = x^(a-b)

10^3 / 10^7 where a = 3 and b = 7

10^(3 - 7) = 10^(-4)

apply exponent rule: a^-b = 1 / a^b

1 / 10^(4)

10^4 = 10000

1 / 10000

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shlokawtaney shlokawtaney
  • 26-05-2022

Answer:

10^-4

Step-by-step explanation:

In division of powers (when the numbers are the same), you subtract both the powers. In this case, it would be 3 - 7 = -4, resulting in a power of -4

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