Question

(a) Using exponential notation, we can write

Answer 1

`\Large\text{$5^(\frac13)$}`

Explanation:

The fractional exponent rule states that for any real number "a":

`\large\text{$\sqrt[n]{a^m}=a^{(m)/(n)}$}`

As any number can be expressed as its own value raised to the power of 1, then:

`\large\text{$\sqrt[3]{5}=\sqrt[3]{5^1}$}`

Comparing this with the fractional exponent rule:

• 
  `a = 5`
• 
  `m = 1`
• 
  `n = 3`

Therefore,
`\sqrt[3]{5}` can be written as:

`\huge\boxed{\boxed{5^(\frac13)}}`