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Write (9^8)/((9^5)^2) in its simplest form

First expand the denominator 9 8 /(9 5 ) 2 = 9 8 /9 10 . Then simplify using power laws to give 9 8 /9 10 =9 -2 . This can be written as 1/(9 2 ) or 1/81 in its simplest form.
JD
Answered by Jacques D. • Maths tutor
3323 Views

Simplify fully (2a + (b)^0.5)^2

(2a + b 0.5 ) 2 First Expand the brackets:(2a + b 0.5 ) x (2a + b 0.5 ) 4a 2 + 2ab 0.5 + 2ab 0.5 + b Simplify the expression by collecting like terms:4a 2 + 4ab 0.5 + b
JB
Answered by James B. • Maths tutor
3737 Views

Paul buys 12 apples and 10 oranges. 12 apples cost £6. The ratio of the cost of one apple: one orange is 2:3. What is the total cost of the apples and oranges?

Using the ratio one apple: one orange is 2:3 it can be found that one orange = (3/2) * one apple. As 12 apples cost £6, one apple cost £6/12 = 50p. Therefore, one orange = (3/2) * 50p = 75p and 10 oranges co...
JD
Answered by Jacques D. • Maths tutor
4498 Views

A cone has radius 6cm and height 5cm. Work out its volume in terms of pi. (Formula for the volume of a cone is V=(1/3)pi(r)^2h)

r=6 h=5 Therefore, volume=(1/3) pi 6 2 *5=188.5cm
IH
Answered by Isabel H. • Maths tutor
4269 Views

A is the point (4,1). B is the point (10,15). Find the perpendicular bisector or of AB.

First, find the gradient, m, of the line AB. Gradient is given by: change in y / change in xChange in y = 15-1 = 14Change in x = 10-4 = 6 Gradient = 14/6 = 7/3 The perpendicular bisector is a straight line n...
OW
Answered by Ollie W. • Maths tutor
8050 Views