How can PHP functions like pow(), floor(), and ceil() be used to manipulate mathematical operations effectively?

PHP functions like pow(), floor(), and ceil() can be used to manipulate mathematical operations effectively by providing easy-to-use built-in functions for common operations. For example, pow() can be used to calculate exponents, floor() can be used to round down a number to the nearest integer, and ceil() can be used to round up a number to the nearest integer.

// Example of using pow(), floor(), and ceil() functions
$base = 2;
$exponent = 3;

// Calculate 2^3
$result = pow($base, $exponent);
echo "2^3 = " . $result . "\n";

// Round down 4.7 to the nearest integer
$rounded_down = floor(4.7);
echo "Round down 4.7: " . $rounded_down . "\n";

// Round up 4.2 to the nearest integer
$rounded_up = ceil(4.2);
echo "Round up 4.2: " . $rounded_up . "\n";