Question

x to the five-fourths power times x to the seven-fourths power, over x to the one-fourth power

Answer 1

@phi

Answer 2

\[\frac{ x ^{\frac{ 5 }{ 4}} \times x ^{\frac{ 7 }{ 4 }}}{ x ^{\frac{ 1 }{ 4 }} }\]

Answer 3

x^12/4 /x^1/4

Answer 4

one way to remember what to do is remember this
\[ x \cdot x = x^2 \]
and x is the same as \( x^1\)
so you get this
\[ x^1 \cdot x^1= x^2 \]
notice the key idea 1+1 = 2

Answer 5

add exponents (if you have the same base)

Answer 6

and hopefully you know
\[ \frac{x\cdot x}{x} = x \]
or with exponents
\[ \frac{x^2}{x^1} = x^1 \]

Answer 7

so add 5/4 + 7/4 = 12/4 = 3

Answer 8

so x^3 ?

Answer 9

yes

Answer 10

exponents that are fractions or negative still work.

so yes add

Answer 11

but x^3 - x^1/4

Answer 12

it would be easier to leave it 12/4 because you then subtract off 1/4

Answer 13

yes, you get an ugly number
\[ x^\frac{11}{4} \]

Answer 14

Thank you :D