find the missing exponent 7^(?)*(7^(5))^(4)=7^(34) place only the missing exponents value in the answer box

9514 1404 393

  14

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)^c = a^(bc)

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(7^?)(7^5)^4 = 7^34

(7^?)(7^20) = 7^34 . . . . simplify power of power

7^(?+20) = 7^34 . . . . . . simplify product

? +20 = 34 . . . . . . . . . .  equate exponents of the same base

? = 14

78.59 is the mean

step-by-step explanation: