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Simplify 125 ^ -2/3

= (1/125) ^ 2/3 = (1/5) ^ 2 = 1/25 To find a number to a negative power, you invert it (flip it so that 125 becomes 1/125) To find (1/125) ^ 2/3, find the cube root of 1/125 (=1/5) and then square it (=1...

Answered by Ewen R. • Maths tutor

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Prove that the composite function fg(2)=-26 where f(x)=3x+1 and g(x)=1-5x

Here, f(x) and g(x) are functions of x, whose output depends on the value of x.

fg(2) means fg(x) where x=2.

Firstly, calculate g(2) and use this answer as the new value of x for f(x).

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Answered by Alisha L. • Maths tutor

12869 Views

Factorise fully 3a^3b + 12a^2b^2 + 9a^5b^3

The first step here is to find a common factor in each term. If we first look at the coefficients of each term we can see the first common factor is 3, so we can write that first outside of our brackets. ...

Answered by Ellie G. • Maths tutor

6204 Views

How do you use the product rule?

The product rule is used to find the differential of expressions of the form y = u(x)*v(x) where u(x) and v(x) are functions in terms of x. An example of such an expression could be

Answered by Laura L. • Maths tutor

3502 Views

Differentiate the following: 7x^2 - 3x^3 + 5 + 27x

To solve this, we mutiply the powers by their respective co-efficients, then we lower the power by 1. If there isn't any X value following the number, we ignore the number entirely because it is a constan...

Answered by Oliver S. • Maths tutor

2980 Views