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
How many significant figures is 0.00304 ?
3
Simplify the following expression
(3x^3)^2
9x6
Simplify the following expression:
5x-3
5/x^3
Expand the following expression:
x(3x + 5)
3x2+5x
Factorise the following expression:
6ab3 + 15ab
3ab(2b2 + 5)
Is the following number written in scientific notation?
73.6 x 10-8
No
Write 32 452 000 in scientific notation with 3 sf
3.25 x 107
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:
45fg5h4 - 36f2g4 +18fg2h
9fg2(5g3h4 - 4fg2 + 2h)
Write the following number in decimal form:
3.86 x 10-3
0.00386
Write 0.039274 to 2sf in scientific notation
3.9 x 10-2
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(2x - 6y)+6y(2x - 6y)
4x2 - 36y2
Factorise the following expression by grouping:
a(a+3b)+3c(a+3b)
(a + 3c)(a + 3b)
Without a calculator, evaluate (2 x 105) x (4 x 10-7). Leave your answer in scientific notation.
8 x 10-2
Write 25 years in hours, in scientific notation to 3 sf.
(365.25 days in a year)
2.19 x 105
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(4a + 5b)+ 5b(4a+5b)
16a2 + 40ab + 25b2
Factorise the following expression by grouping:
4p(3p2+7)-7(3p2+7)
(4p - 7)(3p2 + 7)
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
Write 432 nanoseconds in seconds. To 3 sf in scientific notation.
There are 109 nanoseconds in a second
4.32 x 10-7