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4 years ago

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

Mathematics

2 answers:

andreyandreev [35.5K]4 years ago

6 0

Answer:

Step-by-step explanation:

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

ruslelena [56]4 years ago

4 0

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.

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