Question

Find the value of m for which 5m ÷ 5-3 = 55.​

Answer 1

Given:-

• 5m÷5-3=55

To find:-

• Value of m.

Solution:-

First we will have to subtract as we cannot divide directly.Then we will use the steps of cross-multiplication to find m.

$\large\underline{\bf{ \implies \frac{5m}{5 - 3} = 55}}$

$\large\underline{\bf{ \implies \frac{5m}{2} = 55}}$

$\large\underline{\bf{ \implies5m = 2 \times 55}}$

$\large\underline{\bf{ \implies5m = 110}}$

$\large\underline{\bf{ \implies m = \frac{110}{5} }}$

$\large\underline{\bf{ \implies m = 22}}$

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Answer 2

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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