Find the difference between 23 000 and 230 000. Leave your answer in standard form.

Find the LCM of 702 and 1 690. Leave your answer as a product of prime factors in index form.

A rectangular painting measures 4.5×103 mm by 3×102 mm.
Calculate, giving your answer in standard form:
(a) The perimeter of the painting

(b) The area of the painting

(a) Evaluate: (3×1011)2
(b) Evaluate:
(i) 30+3−1
(ii) 491/2
(c) Find the value of n, given that (12)n=4.
(d) Evaluate: 3−2

Find the value of:
(a) 154÷152

(b) (12)−1

(c) 1252/3

(a) Work out: 0.13

(b) Work out: (25×20−11)1/2

(c) Work out: 23×32

There are 5×104 people watching a football match in a stadium. 3.4×103 of these are children.
(a) Calculate the number of adults in the stadium. Express your answer in standard form.

(b) The entrance fee into the stadium is M 15.00 for adults and M 5.00 for children.
Calculate the total amount of money collected.

w=3×103 and z=5×102.
Work out the following, giving your answers in standard form:
(a) wz

(b) w−z

Find the value of:
(a) 82÷2−3

(b) (29)−1

(c) 361/2

$3x^4$ × ${\left(2x^3\right)}^2$

Calculate $\frac{\sqrt[3]{16}}{{1.3}^2}$.

Calculate $(4.3\times {10}^8)$ + $(2.5\times {10}^7)$.
Give your answer in standard form.

Solve the equation $4x$ + $6\times {10}^3$ = $8\times {10}^4$.
Give your answer in standard form.

Write $2^8$ × $8^2$ × $4^{-2}$ in the form $2^n$.