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find the missing power [tex]5^{1/3}[/tex] x [tex]5^{?} [/tex] = 5 
what is the answer in the question mark?

Sagot :

AnneCidn
When multiplying same bases raised to some power, the exponents are added.
For example, a² x a³ = a²⁺³ = a⁵

So for [tex]5^ \frac{1}{3} \times 5^? = 5^1[/tex]

[tex] \frac{1}{3} + ? = 1[/tex]

[tex]? = 1 - \frac{1}{3}[/tex]

[tex]? =\frac{3}{3}-\frac{1}{3}[/tex]

[tex]\boxed{? =\frac{2}{3}}[/tex]