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Find n so that the equation is true in (5³) n = 5⁹ .

A. 3
B. 6
C. 8
D. 10​


Sagot :

[tex] \huge\blue{\mid{\boxed{\tt{ANSWER}}\mid}} [/tex]

[tex] \large{\mathcal{5^3n = 5^9}} [/tex]

[tex] \large\green{\boxed{\sf{Answer}}} [/tex]

[tex] \large\green{\mathcal{5^6}} [/tex]

[tex] \huge\blue{\mid{\boxed{\tt{SOLUTION}}\mid}} [/tex]

[tex] \large\green{\boxed{\sf{Exponent\: rule:Subtract\:the\: exponent\:of\:both\:sides\:\:by\:3}}} [/tex]

[tex] \large{\mathcal{5^3n = 5^9}} [/tex]

[tex] \large{\mathcal{5^3-^3n = 5^9-^3}} [/tex]

[tex] \large\green{\mathcal{n = 5^6}} [/tex]

[tex] \huge{\colorbox{Black}{\color{white}{\sf{OOF}}}} [/tex] [tex] \huge{\colorbox{Orange}{\color{black}{\sf{Hub}}}} [/tex]