Index Laws I
Simplify 2a3 x 3a2
6a5
Simplify 3a0
3
Expand the following expression:
2t(t + 4)
2t2 + 8t
Factorise the following expression:
4n3 + 10n
2n(2n2 + 5)
Write the following number in scientific notation:
8 956 600 000
8.956 x 109
Express as a single fraction
x/3 + x/4
7x/12
Simplify the following expression
(3x^3)^2
9x6
Simplify the following expression:
5x-3
5/x^3
Expand the following expression:
(3x + 5)(x - 2)
3x2 - x - 10
Factorise the following expression:
6ab3 + 15ab
3ab(2b2 + 5)
Is the following number written in scientific notation?
73.6 x 10-8
No
Express as a single fraction
3x/8 +5x/16
11x/16
Simplify the following expression
(m^2/4)^3
m^6/64
Simplify the following:
(3(x^2)^-2)/((3x)^3
1/(9x^7)
Expand and simplify the following expression:
7g2 + 4 - 3g(4g + 5)
4 - 15g
Factorise the following expression:
4x2y - 6xy2
2xy(2x - 3y)
Write the following number in decimal form:
3.86 x 10-3
0.00386
Icosahedrons have how many equal sides
Twenty
Simplify the following expression:
(x^3y^4 * x^2y)/(x^8y^3
y^2/x^3
Simplify the following:
5x^0y + y(3x^4y^3)^0
6y
Expand and simplify the following expression:
(2x - 6y)(2x + 6y)
4x2 - 36y2
Factorise the following expression:
-3-6x
-3(1 + 2x)
Without a calculator, evaluate (2 x 105) x (4 x 10-7). Leave your answer in scientific notation.
8 x 10-2
What is the name of an angle of more than 90 degrees but less than 180 degrees?
Obtuse angle
Simplify the following:
3(a^3b^4)^2*(2ab^2)^4
48a^10b^16
Simplify the following:
((4a)/b^2)^2 * ((3a^2)/(2b))^-2
64/(24a^2b^2)
Expand and simplify the following expression:
(4a + 5b)2
16a2 + 40ab + 25b2
Factorise the following expression:
3x - 8x2
x(3 - 8x)
The land size of a country is approximately 110 600 square meters and its population is approximately 16 million. Determine the number of square meters per person living in this country, giving your answer in scientific notation.
6.91 x 10-3 m2 per person
What is the name of this sequence: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55…?
Fibonacci numbers