Answer:
[tex]5^{({\frac{x}{3}}+{\frac{x}{5}})}=5^\frac{8x}{15}[/tex]
5^(8x/15)
Step-by-step explanation:
I can't quite read the exponents from the photo, but if they are [tex]\dfrac{x}{3}[/tex] and [tex]\dfrac{x}{5}[/tex]:
Apply the exponent rule: [tex]a^b \cdot a^c=a^{b+c}[/tex]
[tex]\implies (5^{\frac{x}{3}})(5^{\frac{x}{5}})=5^{({\frac{x}{3}}+{\frac{x}{5}})[/tex]
[tex]\dfrac{x}{3}+\dfrac{x}{5}=\dfrac{5x}{15}+\dfrac{3x}{15}=\dfrac{8x}{15}[/tex]
Therefore,
[tex]5^{({\frac{x}{3}}+{\frac{x}{5}})}=5^\frac{8x}{15}[/tex]
