Exponents

[kaf]

Can someone please explain this for me

5^21 * 2^22 = 2 * (5^21 * 2^21)

and if you can kindly point me to a good tutorial for exponents

thanks

[zephir21]

Do this way to understand :

x^n = x*x*x*x.....*x n times

so 5^21 * 2^22 = 5^21 * ( 2 * 2^21)
As multiplication is associative, you can take the 2 out...

So 5^21 * 2^22 = 2 * (5^21 * 2^21)

[marcusking]

Can someone please explain this for me

5^21 * 2^22 = 2 * (5^21 * 2^21)

and if you can kindly point me to a good tutorial for exponents

thanks

remember raising a number to a power is just a multiplication. Multiplication operations can be ordered any way and still achieve the same result.

2*3*5 = 3*5*2

In this case we are removing one of the *2 operations in the term 2^22 and simply moving out by itself

think about it like this 2^3 = 2*(2^2)
thus 2^22 is the same as 2*(2^21)

the equation could be written as 5^21 * 2^22 = 5^21 (2 * 2^21) or
5^21 * 2^22 = 2^21 (2 * 5^21) all are saying the same thing just different ways.