now i'm going to show you how to multiplyfractional exponents. let's take the number nine raised to the one half multiplied bysixty four raised to the one third. the exponent of one half represents square root, and thesquare root of nine is three. the exponent of one third represents the cube root, andthe cube root of sixty four is four, because four times four times four is sixty four.so, the problem is now reduced to three times
How To Add Fractions With Exponents, four equals twelve. this can be shown to betrue because to reverse the operation we square it, so three squared equals nine which checksout. four cubed is four times four times four is sixty four. so, this shows that our methodis correct, and the answer to this problem with fractional exponents is twelve. now,i'm going to show you how to multiply numbers
with fractional exponents with improper fractions.let's take nine to the one half and multiply that by eight to the three half. now, threehalfs is the same as one point five, which is the same as eight times itself one anda half times. so, eight to the three halfs equals eight to the one point five, whichis equal to eight times four, because it's eight times itself once and times half ofitself again; that's thirty two. so, eight to the three halfs is thirty two. nine tothe half is three, because three is the square root of nine. this is how you multiply numbers with fractionalexponents with one of them being improper.
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