Index Laws
Simplify:
a^3 times a^4
a^7
Is the function below increasing or decreasing?
y=3^x
Increasing
State the common difference for the following sequence:
3, 7, 11, 15, ...
d=4
Sum of first 5 terms: 1, 3, 5, 7, 9
S(5)=25
This club competition currently being played includes matchups like PSG vs Bayern and Real Madrid vs Juventus
Simplify:
b^6/b^2
b^4
Solve:
5^(x+1)=625
x=3
State the 10th term of the following series:
2, 5, 8, ...
T(10)=29
Sum of first 10 terms: 2, 4, 6, ...
S(10)=100
This Southern Gothic vampire film starring Michael B. Jordan and Hailee Steinfeld made its streaming debut on Max after a record-breaking theatrical run.
Sinners
Simplify:
(x^2)^5
x^10
What is the coordinate of the vertical intercept of the fucntion:
y=2^x+3
(0,4)
State the general term for the following sequence:
4, 9, 14, ...
T(n)=5n-1
Sum of first 20 terms: 3, 6, 9, ...
S(20)=600
This team won the 2025 Premier League title
Liverpool
Simplify:
(m^-2 times m^3)/m^2
m^(-1)
Solve:
3^(2x-1)=81
x=5/2
Which term in the following sequence has a value of 52?
5, 9, 13, ...
n=13
The Sum of the first n term of the sequence below is 210, find n
5, 10, 15, ...,
n=6
This American city is hosting the 2025 MLB All-Star Game
Atlanta
Simplify:
((a^3 times b^-2)/(a^-1 times b^4))^2
a^8/b^12
Solve:
9^x-3^(x+1)=0
x=1
The 5th term of an arithmetic sequence is 22, and the 12th term is 50. Find the first term and the common difference.
d=4
a=6
The sum of the first n terms of an arithmetic sequence is 120. The first term is 3 and the common difference is 2. Find the value of n.
n=10
This Nigerian superstar is about to releas his new album No Sign of Weakness in July 2025.
Burna Boy