(d^6)^5=d^mWhat does m equal?

Accepted Solution

m is equal to 30Step-by-step explanation:Let us revise some rules of the exponents[tex]a^{m}*a^{n}=a^{m+n}[/tex][tex]\frac{a^{m}}{a^{n}}=a^{m-n}[/tex][tex](a^{m})^{n}=a^{mn}[/tex]If [tex]a^{m}=a^{n}[/tex] , then m = n∵ [tex](d^{6})^{5}=d^{m}[/tex]- By using the 3rd rule above in the left hand side∴ [tex](d^{6})^{5}=d^{6*5}[/tex]∵ 6 × 5 = 30∴ [tex](d^{6})^{5}=d^{30}[/tex]∵ [tex](d^{6})^{5}=d^{m}[/tex]- Substitute the left hand side by [tex]d^{30}[/tex]∴ [tex]d^{30}=d^{m}[/tex]- By using the 4th rule above∴ 30 = mm is equal to 30Learn more:You can learn more about rule of exponents in brainly.com/question/5639299#Learnwithbrainly