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Write 32 X 8^(2x) as a power of 2 in terms of x.

Rules of indices question.32 X 8 2x 32 X (8 2 ) x 32 X (8x8) x 32 X 64 x 32 = 2 5 . and 64 = 2 6 2 5 X (2 6 ) x 2 5 X 2 6x (RULE: x a X x b = x a+b )Answer = 2 (6x + 5)
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Answered by Abbie Y. • Maths tutor
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How do you integrate the term x^2?

When integrating terms that include a power, such as x 2 , there is a simple rule to remember. The rule is to add 1 to the power, and then divide the whole term by this number.For example, in the case, 2 is ...
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Answered by Jack P. • Maths tutor
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How can I prove that an angle in a semi-circle is always 90 degrees?

If we take the diameter of a circle and create an angle on the circumference at point C of the circle from the two points where the diameter meets the circumference (points A and B), the angle created will a...
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Answered by David W. • Maths tutor
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Find the partial fraction decomposition of the expression: (4x^2 + x -64)/((x+2)(x-3)(x-4)).

The first step to solving this question is inputting our dummy variables, and laying out the question so we know what we're doing. So we end up with:(4x 2 + x - 64)/((x+2)(x-3)(x-4)) = A /(x+2) + B /(x-3) + ...
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Answered by Matt V. • Maths tutor
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Solve the simultaneous equations: 2x+5y=25, x=y+2

using our second equation, we can see that x=y+2. Therefore we can sub x into the first equation. This will give us 2*(y+2)+5y=25. We can go ahead and expand the brackets, which gives us 2y+4+5y=25. We can c...
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Answered by Louis W. • Maths tutor
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