Question

find the value of m for which 5 power m ÷ 5‐³ =5⁵​

Answer 1

Answer:

m = 2

Step-by-step explanation:

Using the property $a^{m}$ ÷ $a^{n}$ = $a^{m-n}$

$5^{m}$ ÷ $5^{-3}$ = $5^{5}$

We can remove the base and take only the exponents.

Hence, we get: m - (-3) = 5 [Because, using the property $a^{m}$ ÷ $a^{n}$ = $a^{m-n}$ will give us m ÷ n = m - n {according to the laws of exponents}]

Now we solve it: m - (-3) = 5

                       => m + 3 = 5

                       => m = 5 - 3

                       => m = 2

Therefore we get m = 2

Answer 2

Answer:

$\huge\mathfrak\blue{Question}$

Find the value of m?

We solve this question with the rule of this rule:-

${a}^{m} \div {a}^{n} = {a}^{m - n}$

$\huge\mathfrak\purple{Solution}$

${5}^{m} \div {5}^{ - 3} = {5}^{5}$

${5}^{m - ( - 3)} \: \: \: \: = {5}^{5}$

${5}^{m + 3} \: \: \: \: \: \: \: \: = {5}^{5}$

$m + 3 \: \: \: \: \: \: = 5$

$m \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 5 - 3$

$m \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2$

So the value of m is 2

Step-by-step explanation:

Hope this helps you.

# By Sparkly Princess