Answer:
a) 20
Step-by-step explanation:
when we have an exponent of an exponent, we simply multiply them for the overall exponent.
so, we actually have
a^((1/4)×12) × b^((1/3)×12) = a³b⁴ = 5000
let's find the prime factors of 5000 :
5000 ÷ 2 = 2500
2500 ÷ 2 = 1250
1250 ÷ 2 = 625
625 ÷ 3 no
625 ÷ 5 = 125
125 ÷ 5 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1
so,
5000 = 2³ × 5⁴
so, a = 2, b = 5
a²b = 2²×5 = 4×5 = 20
Answer:
1/26
Step-by-step explanation:
A deck of cards has 52 cards in it. 2/4 or 1/2 of the deck is red (both hearts and diamonds). Therefore, the chance of pulling any red cared from the deck is 1/26.
Answer: The area of circle V is 196π ft² (196Pi feet squared)
Step-by-step explanation:
From the equation for area of a circle,
A = πr²
Where A is the area of the circle
r is the radius of the circle
In Circle V, the radius, r of the circle is 14 feet
That is,
r = 14ft
Hence, Area is
A = π × (14ft)²
A = π × 14ft × 14ft
A = 196π ft²
Hence, the area of circle V is 196π ft² (196Pi feet squared)