Question

After the expression (x^16)3/4 is simplified as much as possible, x is raised to what exponent?

Answer 1

The expression is
`\displaystyle { (\displaystyle{x} ^{\displaystyle{ 16})^{\displaystyle{ (3)/(4)}`.

By exponents laws, we have
`\displaystyle { (a^b)^c=a^(b\cdot c)`. Applying this rule, we have:


`\displaystyle{ (x^(\displaystyle16))^\displaystyle (3)/(4)`
`=\displaystyle x^{\displaystyle16\cdot \displaystyle(3)/(4) }=x^(\displaystyle4\cdot3)=x^(12)`


Answer: 12