Answer:
4/27
Step-by-step explanation:
The laws of exponent are used for the simplification of expressions with exponential powers. Considering the given expression, the applicable laws of exponents are
a^-x = (1/a)^x
and
a^(x/b) = b√a^x
Hence
9-3/2 · 82/3
= (1/9)^3/2 . 8^2/3
= √(1/9)³ . ∛8²
= (1/3)³ . 2²
= 1/27 . 4
= 4/27
Answer:
1680
Step-by-step explanation:
Since there are 4 places (frames) to put up each poster, we think individually:
In the first place they can place ANY OF THE 8 POSTERS
In 2nd place, they can place ANY OF THE REMAINING 7 POSTERS
In 3rd place, they can place ANY OF THE REMAINING 6 posters
and
in last place, they can place ANY OF THE REMAINING 5 posters
The number of ways is the multiplication of them all, so:
8 * 7 * 6 * 5 ways = 1680 ways
Answer:
DF = 4 in
Step-by-step explanation:
As m∠E = 45° then DE = DF
Therefore, as DE = 4in, DF = 4 in
As DE = 4in and DF = 4 in,
then EF =
9514 1404 393
Answer:
3.8 radians
Step-by-step explanation:
The length of an arc is given by ...
s = rθ . . . . . where r is the radius and θ is in radians
so the angle is ...
θ = s/r
θ = 29.6/7.7 ≈ 3.8
The angle is about 3.8 radians.
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