IDNLearn.com is your go-to resource for finding expert answers and community support. Find accurate and detailed answers to your questions from our experienced and dedicated community members.
Sagot :
The expression that is equivalent to the given expression is 3⁶/7¹⁵
Simplifying an expression
From the question, we are to determine the expression that is equivalent to the given expression
The given expression is
[tex]\left(\frac{7^{-3} }{3^{-2} \times 7^{2}} \right)^{3}[/tex]
Simplifying
[tex]\left(\frac{7^{-3} }{3^{-2} \times 7^{2}} \right)^{3}[/tex]
[tex]\left(\frac{7^{-3 \times 3} }{3^{-2 \times 3} \times 7^{2 \times 3}} \right)[/tex]
[tex]\left(\frac{7^{-9} }{3^{-6} \times 7^{6}} \right)[/tex]
= [tex]\left( 7^{-9} \times \frac{1}{3^{-6}} \times \frac{1 }{7^{6}} \right)[/tex]
= [tex]\left( \frac{1}{7^{9} } \times 3^{6} \times \frac{1 }{7^{6}} \right)[/tex]
= [tex]\left(\frac{3^{6} }{7^{9} \times 7^{6}} \right)[/tex]
= [tex]\frac{3^{6} }{7^{9+6}}[/tex]
= [tex]\frac{3^{6} }{7^{15}}[/tex]
Hence, the expression that is equivalent to the given expression is 3⁶/7¹⁵
Learn more on Simplifying an expression here: https://brainly.com/question/15361818
#SPJ1
We appreciate your contributions to this forum. Don't forget to check back for the latest answers. Keep asking, answering, and sharing useful information. Your search for answers ends at IDNLearn.com. Thanks for visiting, and we look forward to helping you again soon.