Answer:
2³ = 8
Step-by-step explanation:
According to the laws of exponents, when raising a power to another power, you need to multiply the exponents. After you multiply each set of exponents by the additional power, then it become a multiplication problem where the base is the same. When multiplying exponents with the same base, you keep the base and add the exponents:
Answer:
see explanation
Step-by-step explanation:
Given
A = bh
a. substitute b = 6 and h = 5 into the formula
A = × 6 × 5 =
× 30 = 15 units²
b.
Multiply both sides of the formula by 2
2A = bh, that is
bh = 2A ← divide both sides by b
h = =
=
= 8
c
Using
bh = 2A ← divide both sides by h
b = =
=
= 6
Answer:
We want to find:
Here we can use Stirling's approximation, which says that for large values of n, we get:
Because here we are taking the limit when n tends to infinity, we can use this approximation.
Then we get.
Now we can just simplify this, so we get:
And we can rewrite it as:
The important part here is the exponent, as n tends to infinite, the exponent tends to zero.
Thus:
