Fill in the Blanks:
[tex]13. \: {x}^{m} \div {x}^{n} = {?}^{} \: \: \: \: (if \: m < n)[/tex]
[tex]14. \: \sqrt[3]{625} [/tex]
[tex]15. \: \sqrt[3]{( \frac{2}{3} {)}^{4} } [/tex]
[tex]17. \: the \: radical \: form \: of \: ( {y}^{p} {)}^{ \frac{1}{q} } [/tex]
[tex]19. \: the \: index \: in \: \sqrt[4]{2} [/tex]
[tex]20. \: the \: exponential \: form \: of \: cube \: root \:[/tex]
[tex]of \: 24 \: is \: {?}^{} [/tex]
Answers & Comments
Verified answer
Step-by-step explanation:
[tex] \tt13.{x}^{m} \div {x}^{n} = \boxed{ \red{ \tt {x}^{m - n}}} \: \: \: \: (if \: m < n)[/tex]
[tex] \\ \tt14. \: \sqrt[3]{625} = \boxed{ \blue{\tt 5 \sqrt[3]{5} \: \: \: or \: \: \: {5}^{ \frac{4}{3} } }}[/tex]
[tex] \\ \tt15.\: \sqrt[3]{ \bigg( \frac{2}{3} { \bigg)}^{4} } = \sqrt[3]{\frac{16}{81}} = \boxed{ \pink{\tt \frac{2 \sqrt[3]{2} }{3 \sqrt[3]{3} } \: \: \: or \: \: \: \frac{ {2}^{ \frac{4}{3} } }{ {3}^{ \frac{4}{3} } } }}[/tex]