Respuesta :

mhanifa

Answer:

  • 14

Step-by-step explanation:

  • x^3*x^?=x^17
  • x^(3 + ?) = x^17
  • 3 + ? = 17
  • ? = 14

Answer:

  • First write the given equation

[tex]{:}\xrightarrow{ }\tt x^3×x^?=x^17 [/tex]

  • Simplify

[tex]{:}\longrightarrow\tt x^{(3+?)}=x^17[/tex]

[tex]{:}\longrightarrow\tt 3+?=17 [/tex]

  • Interchange sides

[tex]{:}\longrightarrow\tt ?=17-3 [/tex]

[tex]{:}\longrightarrow\tt ?=14 [/tex]

Explore more:-

Formulas of exponents:-

[tex]\boxed{\begin{minipage}{5 cm}\bf{\dag}\:\:\underline{\text{Law of Exponents :}}\\\\\bigstar\:\:\sf\dfrac{a^m}{a^n} = a^{m - n}\\\\\bigstar\:\:\sf{(a^m)^n = a^{mn}}\\\\\bigstar\:\:\sf(a^m)(a^n) = a^{m + n}\\\\\bigstar\:\:\sf\dfrac{1}{a^n} = a^{-n}\\\\\bigstar\:\:\sf\sqrt[\sf n]{\sf a} = (a)^{\dfrac{1}{n}}\end{minipage}}[/tex]

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