Find the value of m for which 5m ÷ 5-3 = 55.
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Given:-
To find:-
Solution:-
First we will have to subtract as we cannot divide directly.Then we will use the steps of cross-multiplication to find m.
[tex]\large\underline{\bf{ \implies \frac{5m}{5 - 3} = 55}}[/tex]
[tex]\large\underline{\bf{ \implies \frac{5m}{2} = 55}}[/tex]
[tex]\large\underline{\bf{ \implies5m = 2 \times 55}}[/tex]
[tex]\large\underline{\bf{ \implies5m = 110}}[/tex]
[tex]\large\underline{\bf{ \implies m = \frac{110}{5} }}[/tex]
[tex]\large\underline{\bf{ \implies m = 22}}[/tex]
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Verified answer
Answer:
Find the value of m for which (5m ÷ 5−3) = 55
Solution:The exponent of a number shows how many times the number is multiplied by itself.
According to the rules of exponents,
We know that, am ÷ an = am − n
(5m ÷ 5−3) = 55
5m−(−3) = 55
5m + 3 = 55
The bases are the same on both the sides, so their exponents must be equal.
∴ m + 3 = 5
⇒ m = 5 − 3
⇒ m = 2
Step-by-step explanation:
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