Answered

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Find the product with the exponent in simplest form.

Find The Product With The Exponent In Simplest Form class=

Sagot :

Answer:

x = 7 , y = 12

Step-by-step explanation:

using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

consider left side

[tex]6^{\frac{1}{3} }[/tex] × [tex]6^{\frac{1}{4} }[/tex]

= [tex]6^{(\frac{1}{3}+\frac{1}{4}) }[/tex]

= [tex]6^{(\frac{4}{12}+\frac{3}{12}) }[/tex]

= [tex]6^{\frac{7}{12} }[/tex] = [tex]6^{\frac{x}{y} }[/tex] , comparing exponents , then

x = 7 and y = 12

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