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

Question

Solve the following:

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

00:11 Let's simplify this problem!

00:14 When dividing powers with the same base, remember,

00:19 The power of the result is the power at the top minus the power at the bottom.

00:24 Let's use this rule now and subtract those powers.

00:27 And there you go, we've solved it!

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.

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