Question

4m / 45 = 43 What does m equal?

The M,5, And 3 are exponents.
/ means divide
The answer is 15.
But I need the step by step, please!
<3 :) <3

Answer 1

The value of m is 8.

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.