54×25= 5^4\times25= 54×25=
To solve this exercise, first we note that 25 is the result of a power and we reduce it to a common base of 5.
25=5 \sqrt{25}=5 25=525=52 25=5^2 25=52Now, we go back to the initial exercise and solve by adding the powers according to the formula:
an×am=an+m a^n\times a^m=a^{n+m} an×am=an+m
54×25=54×52=54+2=56 5^4\times25=5^4\times5^2=5^{4+2}=5^6 54×25=54×52=54+2=56
56 5^6 56