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Simplify p^2×p^5

When you multiply two numbers that are the same with different exponents, the number can remain the same and the exponents are added. That is an exponents rule. This means that the answer is p^7

SA
Answered by Sama A. Maths tutor
6646 Views

Express (3 - sqrt(5))^2 in the form m + n*sqrt(5), where m and n are integers.

Layout the problem in a more recognisable form such as (3 - sqrt(5))(3 - sqrt(5)). Notice that this looks a lot like a factorised quadratic equation, where <...

AP
Answered by Anselmo P. Maths tutor
7981 Views

How do you divide two fractions?

A fraction is simply a different way to write a division sum. I.e a \divide b = a/b.

This also applies if the two numbers we're dividing are fractions themselves:

a/b \divide c/d = (a/b) / (...

RP
Answered by Robert P. Maths tutor
2997 Views

Factorise x^(2)​​​​ - 49

(x + 7)*(x - 7)

Notice difference of two squares. Very important to learn square numbers, primes and multiples and be able to notice them.

GI
Answered by Georgiana I. Maths tutor
3652 Views

You are given sets A: {2,4,6,8,10,12} and B: {1,3,5,7,9,11} explain why A∩B = ∅

There are no shared members of either set. Sets A and B are mutually exclusive (odds and evens.) i.e. A intersect B has no members and is empty.

GI
Answered by Georgiana I. Maths tutor
3740 Views

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