So in order to divide numbers that have different bases. And different exponents one thing we can doMoreSo in order to divide numbers that have different bases. And different exponents one thing we can do is actually break down the exponents. And specifically you want to break down the bigger exponent.
But our bases differ we have a six and a two so let's multiply those bases six times 2 gives us 12..MoreBut our bases differ we have a six and a two so let's multiply those bases six times 2 gives us 12.. And then the exponent of 3 stays the same. So we get 12 cubed.
Rule 6: When two variables with different bases, but same indices are multiplied together, we have to multiply its base and raise the same index to multiplied variables. Rule 7: When two variables with different bases, but same indices are divided, we are required to divide the bases and raise the same index to it.
If they got the same term on the top and bottom all you do is cancel them out. So now you will getMoreIf they got the same term on the top and bottom all you do is cancel them out. So now you will get five x's being multiplied. Together left over which equals x to the fifth.
When we divide fractional exponents with the same powers but different bases, we express it as a1/m ÷ b1/m = (a÷b)1/m. Here, we are dividing the bases in the given sequence and writing the common power on it. For example, 95/6 ÷ 35/6 = (9/3)5/6, which is equal to 35/6.
In general we can solve exponential equations whose terms do not have like bases in the following way: Apply the logarithm to both sides of the equation. If one of the terms in the equation has base 10 , use the common logarithm. Use the rules of logarithms to solve for the unknown.
If they got the same term on the top and bottom all you do is cancel them out. So now you will getMoreIf they got the same term on the top and bottom all you do is cancel them out. So now you will get five x's being multiplied. Together left over which equals x to the fifth.
In order to divide indices when the bases are different we need to write out each term and calculate the answer. We cannot simplify them using the laws of indices as the bases are not the same. 1 Write out each term without the indices. 2 Work out the calculation and simplify.