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write (3.2 x 10^4) - (5 x 10^3) in standard form

In order to do this question you want to make sure that both parts of the subtraction are multiplied by the same power of 10.In this case let's make the second part in terms of 10^4. So it becomes 0.5 x 10^4...
EG
Answered by Edward G. • Maths tutor
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[Higher] Simplify the following expressions: x^7 X x ^5 and (x^-2)^-3

For the first part, when we are multiplying a number of two different powers (here being 7 and 5), we must add the powers in order to simplify the expression. So here x 7 * x 5 = x (7+5) = x 12 , which is th...
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Answered by Zak S. • Maths tutor
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Write each of the following numbers to 2 decimal places: 65.4632, 9.8971.

When writing numbers to two decimal places, we need to look at the third digit after the decimal place first. If it is 4 or under, then we can just finish the number after the second digit after the decimal ...
ZS
Answered by Zak S. • Maths tutor
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[Foundation} y = 4x - 3t. x = 2 and t = 5. Work out the value of y.

We know y = 4x - 3t. We are given the values of x and t and we need to work out the value of y. So we shall substitute the given values of x and t to work out y. y = 4 X 2 - 3 X 5, and so using the laws of B...
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Answered by Zak S. • Maths tutor
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Point A has coordinates (1,0) and Point B has coordinates (2,5). Find the angle between the line AB and the x-axis. (3)

Tan(x) = 5/(2-1), x=tan -1 (5), x= 78.7°
EG
Answered by Edward G. • Maths tutor
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