128k views
3 votes
X^3*x^?=x^17 I don't know what the is.

User DsRaj
by
4.9k points

2 Answers

2 votes

Answer:

  • First write the given equation


{:}\xrightarrow{ }\tt x^3×x^?=x^17

  • Simplify


{:}\longrightarrow\tt x^((3+?))=x^17


{:}\longrightarrow\tt 3+?=17

  • Interchange sides


{:}\longrightarrow\tt ?=17-3


{:}\longrightarrow\tt ?=14

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Formulas of exponents:-


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

User Rahulthewall
by
5.2k points
2 votes

Answer:

  • 14

Explanation:

  • x^3*x^?=x^17
  • x^(3 + ?) = x^17
  • 3 + ? = 17
  • ? = 14
User Eastboundr
by
4.9k points