Question

expand the expression (3/4)^5

Answer 1

An exponent indicates that a number is being multiplied a k number of times by itself. For example, the expression:

$4^3$

Indicates that the number "4" is being multiplied 3 times by itself, the expanded expression would be:

$4\cdot4\cdot4$

For the given exponent number:

$(\frac{3}{4})^5$

It indicates that 3/4 is being multiplied 5 times by itself, the expanded expression would be:

$\frac{3}{4}\cdot\frac{3}{4}\cdot\frac{3}{4}\cdot\frac{3}{4}\cdot\frac{3}{4}=\frac{243}{1024}$