Use the laws of exponents to simplify.
6^(3/4)*6^(5/8)

Question

jim_thompson5910 · Answer

hint: when multiplying exponential expressions with the same base, you add the exponents to get a simplified answer.

jhonyy9 · Answer

make for exponent 3/4 + 5/8

anonymous · Answer

Think about a simple example...

$$X ^{2} =X*X$$
$$X ^{3}=X*X*X$$
$$X ^{2}*X ^{3} = (X*X)(X*X*X)$$
$$X ^{2}*X ^{3} = X*X*X*X*X$$
$$X ^{2}*X ^{3} = X^{5}$$

All you have to do is add the exponents together.

$$X^{m}*X^{n}= X^{m+n}$$

get the exponents to have the same denominator. Turn 3/4 into 6/8.

$$6^{3/4}*6^{5/8}= 6^{6/8}*6^{5/8}$$

Then add the exponents together.

$$6^{6/8}*6^{5/8}=6^{11/8}$$