How do you simplify and write # 5^2 times 5^4# with positive exponents?

1 Answer
May 18, 2018

Answer:

#5^6#

Explanation:

The first law of indices you usually learn is the one about multiplying.

'If the bases are the same and you are multiplying, add the indices.'

#x^m xx x^n = x^(m+n)#

In this case the bases are both #5#

#5^2 xx 5^4 = 5^(2+4)= 5^6#

To see why this is so, write them out in expanded form:

#5^2 xx 5^4 = (5xx5) xx (5xx5xx5xx5) = 5^6#