gabbyboocutie13 gabbyboocutie13
  • 25-05-2019
  • Mathematics
contestada

Find the missing exponent. Explain 5^11/5^?=5^4

Respuesta :

kidwaffles0
kidwaffles0 kidwaffles0
  • 25-05-2019

Answer:

The missing exponent is 5^7

Step-by-step explanation:

5^11/5^?=5^4

1. Subtract the exponents from each other.

11-4=7

2. Plug 7 in as the exponent.

5^11/5^7

3. 11-7=4 therefore, 5^11/5^7 equals 5^4.

Answer Link
gmany
gmany gmany
  • 26-05-2019

Answer:

? = 7

Step-by-step explanation:

[tex]\text{We know:}\ \dfrac{a^n}{a^m}=a^{n-m}.\\\\\dfrac{5^{11}}{5^{?}}=5^4\\\\5^{11-?}=5^4\to?=7\ \text{because}\ 11-7=4[/tex]

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