Answer:
3
Step-by-step explanation:
3^([tex]\frac{1}{4}[/tex]) × 27^([tex]\frac{1}{4}[/tex])
27 can be written as 3³:
3^([tex]\frac{1}{4}[/tex]) × (3³)^([tex]\frac{1}{4}[/tex])
use this rule to multiply the exponents:
(xᵃ)ᵇ = xᵃᵇ
3^([tex]\frac{1}{4}[/tex]) × 3^([tex]\frac{3}{4}[/tex])
use this rule to add the exponents:
xᵃxᵇ = xᵃ⁺ᵇ
3^([tex]\frac{1}{4}[/tex] + [tex]\frac{3}{4}[/tex])
3^([tex]\frac{4}{4}[/tex])
3^1
3
