Product and Quotient Rules
Simplify a2 x a5
a7
2 + 5 = 7
What is a0
1
Simplify (y4)2
y8
4 x 2 = 8
Simplify (2 x 5)4
24 x 54 or 10 000
What year was the first iPhone released?
a) 2005
b) 2006
c) 2007
d) 2008
c) 2007
The first iPhone was released to the public January 9th, 2007.
Simplify y8÷y5
y3
8 - 5 = 3
Simplify (43 x 70)
43
43 x 1 = 43
If (ma)3 = m18, what is a?
6
3 x 6 = 18
Simplify (2/3)2
22/32 or 4/9
What is Mr. Robarge's favourite colour?
Green!
Simplify 2a6 x 1a2
2a8
Use rule 1 to add the powers, and then multiply the coefficients (numbers in front of the variables).
True or False
00 = 1
Yes and No.
This is a trick question, and a debate amongst many mathematicians. It may equal one, depending on the context and who you ask.
Simplify ((22)4)6
248
2 x 4 x 6 = 48
True or False:
When taking an expression in brackets to a power, your answer will be different if you solve inside the brackets first instead of multiplying the power first.
False.
When taking an expression inside brackets to a power, we will get the same answer no matter what we solve first.
Which scientist discovered the Laws of Motion?
Sir Isaac Newton
Simplify b7 x e3
This cannot be simplified, they have different bases.
Simplify (a0b3c0)4
b12
1 x b12 x 1
Simplify (a2)2 x (a3)4
a4 x a12
= a16
Use Index Law 3 to multiply the powers that have brackets, then use Index Law 1 to add the powers together.
Simplify (2ay/z)3
27a3y3/64z3
Which is the fastest animal in Australia?
a) Peregrine Falcon
b) Red Kangaroo
c) Emu
d) Cassowary
a) Peregrine Falcon
They can dive as fast as 300 km/h
Simplify m3 x m4 ÷ m2
m5
Work left to right. First use law one to add the powers, then use law two to subtract.
Pick a number. Take half of that number, multiply it by 3, and then raise the result to the power of zero. What number will you be left with?
1
Anything raised to the power of 0 equals 1.
(b3)5 ÷ (b2)4 x (b1)10
b15 ÷ b8 x b10 =
b7 x b10 =
b17
First, simplify algebraically. Then substitute in the given values to find the numerical answer. Round your answer to the nearest whole number.
Code A=2, B=3
Simplify (A3x A2)2 ÷ (B2 ÷ B1)4
A10 ÷ B4 =
210 ÷ 34 = 12.641
= 13
When was the last time the lyrics to the Australian National Anthem were changed?
a) 1992
b) 2005
c) 2019
d) 2021
d) 2021
The lyrics "for we are young and free" were changed to "for we are one and free"