Solve Exponential Fraction: b^y/b^x - b^z/b^3 Simplification

Question

Solve the following:

$\frac{b^{\frac{y}{}}}{b^x}-\frac{b^z}{b^3}=$

00:00 Simply

00:03 When dividing powers with equal bases

00:07 The power of the result equals the difference of the powers

00:11 We'll use this formula in our exercise, and subtract the powers

00:16 And this is the solution to the question

Here we have division between two terms with identical bases, therefore we will use the power property to divide terms with identical bases:

$\frac{c^m}{c^n}=c^{m-n}$ Note that using this property is only possible when the division is carried out between terms with identical bases.

Let's go back to the problem and apply the power property to each term of the exercise separately:

$\frac{b^{\frac{y}{}}}{b^x}-\frac{b^z}{b^3}=b^{y-x}-b^{z-3}$ Therefore, the correct answer is option A.

$b^{y-x}-b^{z-3}$