Question 233273
(4.2X10^3)(1.5X10^6)
Since the only operation here is multiplication and since multiplication is Commutative and Associative, we can reorder and regroup this as we choose. So I can rewrite this expression in this way:
{{{((4.2)(1.5))((10^3)(10^6))}}}
Now I'll multiply the first pair and the last pair of numbers. On the last pair, I will use the rule for exponents: {{{a^x*a^y = a^(x+y)}}}
{{{(6.60)(10^(3+6))}}}
which simplifies to
{{{(6.60)(10^9)}}}
This is the answer. Most of time scientific notation is written with a little "x" between the two numbers so I'll go ahead and put one in:
{{{6.60}}} x {{{10^9}}}
Since we have a number between 1 and 10 in front and a power of ten in the back, this is proper scientific notation.