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
The first multiple of 7 (7 x 1 = 7) is the biggest factor of 7 .
Step-by-step explanation:
A rational number is any number that can be divided (written as a fraction) by.
Examples: 1/2, 3, 5/9
*Irrational numbers: cannot be divided
Examples: π, 3.53465374765768957965...
Answer:
decrease of 29.6%
Step-by-step explanation:
The percentage change can be calculated as ...
percent change = ((new value)/(old value) -1) × 100%
= (38/54 -1) × 100%
= -0.2963 × 100%
= -29.6% . . . . . . . . . negative means decrease
54 to 38 is a decrease of 29.6%.