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dianamoulton13
02.11.2020 •
Mathematics
If 5^n x 5^3 = 5^6, then n is _____.
A) 18
B) 2
C) 3
D) 9
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Ответ:
The rule we'll use is a^b*a^c = a^(b+c). So we add the exponents.
That means 5^n*5^3 = 5^(n+3)
So 5^n*5^3 = 5^6 turns into 5^(n+3) = 5^6
The bases are equal to 5, so the exponents be equal to one another.
n+3 = 6
n+3-3 = 6-3
n = 3
So 5^3*5^3 = 5^(3+3) = 5^6.
Ответ:
n = 3
Step-by-step explanation:
Using the rule of exponents
Given
Since the bases on both sides are 5, the equate the exponents
n + 3 = 6 ( subtract 3 from both sides )
n = 3
Ответ: