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zubka84 [21]
3 years ago
9

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

Mathematics
2 answers:
andreyandreev [35.5K]3 years ago
6 0

Answer:

<h2>? = 7</h2>

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]3 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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