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How do you multiply ##6.02x10^23 * 7.5x10^24##?
Key points to remember ##b^m*b^n = b^(m+n)## and ##(pxxq)*(rxxs) " can be rearranged as " (pxxr)xx(qxxs)##
So ##6.02xx10^23*7.5xx10^24##
##= (6.02xx7.5) xx (10^23xx10^24)##
##= 45.15 xx 10^47##