Question

4m / 45 = 43 What does m equal?

Answer 1

The value of m is 8.

Step-by-step explanation:

The given expression is that $4^{m}/4^{5} = 4^{3}$

We know that, the m, 5, 3 are exponents which represents the power of the base number. Here, 4 is the base in this given expression.

To find the value of m :

The first step is to equate the exponents on both sides of the expression.

Before that, bring the denominator $4^{5}$ to the numerator by changing the sign of the exponent.

For example, $a^{m} /a^{n} = a^{m-n$

⇒ $4^{m-5} = 4^{3}$

Now, if the bases are same then it is possible to equate the exponents on both sides of the expression.

The exponent on the left side of expression is (m-5) and the exponent on the right side is 3.

⇒ m-5 = 3

Add 5 on both sides,

⇒ m-5+5 = 3+5

⇒ m = 8

Therefore, the value of m is 8.