n = 15
Step-by-step explanation:
- Step 1: Calculate n by using the law of exponents that a^m × a^n = a^m+n
For 2^-6*2^n=2^9, a = 2, m = -6 and m + n = 9
⇒ -6 + n = 9
⇒ n = 15
- Step 2: Given 2³ × 4³=2^9. Use law of exponents to prove it.
⇒ 2³ × 4³ can also be written as 2³ × (2²)³ = 2³ × 2^6 [This is based on the law of exponents (a^m)^n = (a)^m×n]
⇒ 2³ × 2^6 = 2^ (3 + 6) = 2^9 [Using the law of exponents a^m × a^n = a^m+n]
Answer:
the first one
Step-by-step explanation:
Because if you put one in 3rd place y you Will always get the right answer
Answer:
= ![\frac{7}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B8%7D)
Step-by-step explanation:
The n th term of a geometric sequence is
= a![(r)^{n-1}](https://tex.z-dn.net/?f=%28r%29%5E%7Bn-1%7D)
where a is the first term and r the common ratio
Here a = 14 and r =
= -
, thus
= 14 ×
= 14 ×
=
= ![\frac{7}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B8%7D)
Answer:
the addition properties of zero and multiplication properties of zero
Answer:x x=-5
Step-by-step explanation: