Question

find the value of " m " of which
5^m÷5-³=5^5​

Answer 1

Answer:

m=2

Step-by-step explanation:

to understand this

you need to know about:

• law of exponent
• PEMDAS

given:

• $\frac{ {5}^{m} }{ {5}^{ - 3} } = {5}^{5}$

tips and formulas:

• $\frac{ {x}^{a} }{ {x}^{b} } = {x}^{a - b}$
• ${x}^{a} = {x}^{b} < = > a = b$

let's solve:

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

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

$m + 3 = 5$

$m = 2$

Answer 2

Answer:

${5}^{m} \div {5}^{ (- 3)} = {5}^{5} \\ {5}^{m} \div \frac{1}{ {5}^{3} }= {5}^{5} \\ {5}^{m} \times {5}^{3} = {5}^{5} \\ {5}^{m} = \frac{ {5}^{5} }{ {5}^{3} } \\ {5}^{m} = {5}^{2} \\ \boxed{m = 2}$

★ m=2 is the right answer.