Question

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

Answer 1

m is equal to 30

Step-by-step explanation:

Let us revise some rules of the exponents

• $a^{m}*a^{n}=a^{m+n}$
• $\frac{a^{m}}{a^{n}}=a^{m-n}$
• $(a^{m})^{n}=a^{mn}$
• If $a^{m}=a^{n}$ , then m = n

∵ $(d^{6})^{5}=d^{m}$

- By using the 3rd rule above in the left hand side

∴ $(d^{6})^{5}=d^{6*5}$

∵ 6 × 5 = 30

∴ $(d^{6})^{5}=d^{30}$

∵ $(d^{6})^{5}=d^{m}$

- Substitute the left hand side by $d^{30}$

∴ $d^{30}=d^{m}$

- By using the 4th rule above

∴ 30 = m

m is equal to 30

Learn more:

You can learn more about rule of exponents in brainly.com/question/5639299

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